Question

Algebra Basics Solve the equation. Check your solution.

(Lessons 2.5, 2.6)

$6r=48$

Short answer

The value of the variable is $r=7$.

Step-by-step solution

Step 1  . Divide by 6

To find the value of variable r in the equation$6r=48$, divide both sides of the equation by 6.

$\frac{6r}{6}=\frac{48}{6}$

Step 2  . Simplify the equation.

To further simplify, cancel the common factors of 6.

$\begin{array}{c}\frac{6r}{6}=\frac{\cancel{6}\times 7}{\cancel{6}}\\ r=7\end{array}$

Step 3  .Verify the value.

In order to verify the value of variable r, substitute 7 for r into the equation $6r=48$.

$\begin{array}{c}6\left(7\right)=48\\ 48=48\text{True}\end{array}$

Hence, the value of the variable is $r=7$.