Chapter 2.5, Problem 26P

Solve each equation for the given variable.

$26.-3(m-2n)=5m;m$

To determine

To find : the solution of the equation for the variable m.

Answer to Problem 26P

  $m=\frac{3}{4}n$

Explanation of Solution

Given equation: $-3\left(m-2n\right)=5m$

Calculation:

Given equation can be written as

  $\begin{array}{l}-3\left(m-2n\right)=5m\\ -3m+6n=5m\end{array}$

By adding 3m to both sides of the equation, we get

  $\begin{array}{l}3m-3m+6n=3m+5m\\ 6n=8m\\ 8m=6n\end{array}$

Dividing both sides of equation by 8, we get

  $\begin{array}{l}m=\frac{6}{8}n\\ m=\frac{3}{4}n\end{array}$

Thus, solution of equation for the variable m is

  $m=\frac{3}{4}n$