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Difficulty: EasySolving One-Variable Linear Equations
Find the solution to the following algebraic equation:
4(3r−6)=48 4(3r - 6) = 48
Which of the following is the correct value of rr?
  1. 6Answer
  2. B
    2
  3. C
    -4
  4. D
    -6

Answer

The correct value is 6.
The correct answer is found by first distributing the 4 to get 12r - 24 = 48. Next, adding 24 to both sides gives 12r = 72. Finally, dividing both sides by 12 yields r = 6.

Step-by-Step Solution

1
Distribute the 4 into the terms inside the parentheses.
12r−24=48 12r - 24 = 48
To eliminate the parentheses and simplify the left side of the equation.
2
Add 24 to both sides of the equation.
12r=72 12r = 72
To isolate the term containing the variable rr on one side of the equation using inverse operations.
3
Divide both sides of the equation by 12.
r=6 r = 6
To solve for the final, single value of the variable rr.

Key Concept

Solving One-Variable Linear Equations
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Topics

Solving One-Variable Linear Equations

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