Solving the Equation: 2(3) + 3r = 12

Understanding how to solve linear equations is fundamental in algebra and forms the basis for many advanced math applications. One such equation frequently studied is 2(3) + 3r = 12. While seemingly simple, mastering this equation helps build strong problem-solving skills. In this article, we’ll walk through the step-by-step process of solving 2(3) + 3r = 12, explain the algebra behind it, and highlight common pitfalls and best practices.

Understanding the Context

What Does the Equation 2(3) + 3r = 12 Mean?

The expression 2(3) + 3r = 12 combines constants, multiplication, and a variable, which alters how we approach solving for r. Parentheses must be evaluated first, followed by multiplication before addition or equating.

Step-by-Step Solution

Solved: What is 2/3 of 12? [Math]

Image Gallery

Solved: What is 2/3 of 12? [Math]
Solved: 6. (-3r-12)/4 =3 [algebra]
Solved Evaluate the integral ∫r2(12r3−3)3dr. ∫r2(12r3−3)3dr= | Chegg.com
Solved: 2(9r+3)-7r>-10r-(12r+9) ？ [algebra]
Solved: 8r-5(2r+3)+6r-12 [Math]

Key Insights

Step 1: Evaluate the Multiplication Inside Parentheses

Start by simplifying the expression inside the parentheses: 

2(3) = 6

Now rewrite the equation: 

6 + 3r = 12
```

Step 2: Isolate the Variable Term


Subtract 6 from both sides to eliminate the constant on the left:

6 + 3r - 6 = 12 - 6
3r = 6

Step 3: Solve for r

Divide both sides by 3:
3r ÷ 3 = 6 ÷ 3
r = 2

Final Answer

r = 2

Continue Reading

Netflix for Verizon
Admin Webgui
E Bill Pay Verizon

🔗 Related Articles You Might Like:

📰 Click and Discover the Shocking Truth Behind Famous Book Bios You Never Noticed! 📰 Your Ideal Book Bio Match? Snap These Surface Clues Now—Youll Regret Missing Them! 📰 These Surface Book Bios Glass-Equal Your Next Favorite Read—See Why! 📰 Barry Bagels 4911490 📰 The Verizon Stock Symbol Thats Boosting Market Mapsdont Miss This Hidden Hero 8715866 📰 Kenya Cities 3413275 📰 Youll Earn A Microsoft Path Certification Overnightheres How To Boost Your Credibility Fast 7326003 📰 Discover What Raditz Hides You Wont Believe This Hidden Gem 5723382 📰 Best Household 3D Printer 3898009 📰 Christopher Walken Young Secrets Revealed About His Shocking Early Career 4772877 📰 Shanes Discovery Changes Everythingstardew Valleys Most Powerful Secret Is Finally Out 1029793 📰 How Much Is A Steam Deck 921592 📰 Humanize Ai Detector 2396695 📰 Shocked By The Usa Tv Program Schedule These Shows Are Changing The Game Forever 5899797 📰 Capcom Games Everyones Obsessed Overyou Need To Play Them Now 8555877 📰 This Purple Dunk Was Purchased For Under 20You Wont Believe Its Power 3394336 📰 From Pinch To Pantry Slot Grams Become Kilograms Without Stress 9693042 📰 Scooby Snack Shot Revealedturns Out Its Not Just Juice 5717009

Final Thoughts

Why This Equation Matters

While 2(3) + 3r = 12 is a basic linear equation, solving it introduces key algebraic concepts:

  • Order of operations: Parentheses before multiplication
  • Isolating variables: Moving constants to the opposite side
  • Balancing both sides: Maintaining equation integrity by performing identical operations

These skills are essential for solving more complex equations in algebra, such as those involving multiple variables or higher-degree polynomials.

Tips for Solving Similar Equations

  • Always simplify expressions inside parentheses first.
  • Perform multiplication or division before addition or subtraction.
  • Keep one side of the equation isolated at each step.
  • Check your answer by substituting r = 2 back into the original equation:
    2(3) + 3(2) = 6 + 6 = 12 ✔

Related Topics

  • Linear equations with one variable
  • Solving equations with coefficients
  • Algebraic expression simplification
  • Equation balancing techniques