Chapter 0.5, Problem 31E

To determine

Solve the equation $-2\left(n+7\right)=15$ and explain each step

Answer to Problem 31E

  $n=-\frac{29}{2}$

Explanation of Solution

Given information:

  $-2\left(n+7\right)=15$

Formula used:

Simplification of equation

Calculation:

  $-2\left(n+7\right)=15$

Multiply by -2 in bracket

  $-2n-14=15$

To isolate the variable n, adding 14 both sides-

  $-2n-14+14=15+14$

This gives-

  $-2n=29$

To isolate the variable n, dividing by -2 both sides-

  $\frac{-2n}{-2}=\frac{29}{-2}$

Hence, the final answer is-

  $n=-\frac{29}{2}$