Chapter 6.3, Problem 35E

To determine

Tosolve: The given equation.

Answer to Problem 35E

Solution to the equation is $r=5$ .

Explanation of Solution

Given information :

Equation: $6(r-2)=2r+8$

Concept used:

To solve an equation with variables on both sides, simplify one or both sides of the equation.

We are given the equation:

  $6(r-2)=2r+8$

Distribute $6$

  $\Rightarrow 6r-12=2r+8$

Subtract $2r$ &add $12$ from the both sides of the equation:

  $\begin{array}{l}\Rightarrow 6r-12-2r+12=2r+8-2r+12\\ \Rightarrow 4r=20\end{array}$

Divide $4$ to both sides

  $\Rightarrow r=\frac{20}{4}=5$

Hence,

Solution to the equation is $r=5$ .