Chapter 2.2, Problem 7P

Solve each equation. Check your answer.

$\frac{k}{4}+6=-2$

To determine

To calculate: the value of k.

Answer to Problem 7P

The value of k is −32.

Explanation of Solution

Given information:

  $\frac{k}{4}+6=-2$

Calculation:

  $\begin{array}{l}\frac{k}{4}+6=-2\\ \frac{k}{4}=-2-6\\ \frac{k}{4}=-8\\ \boxed{k=-32}\end{array}$

Check:

  $\begin{array}{l}\frac{-32}{4}+6=-2\\ -8+6=-2\\ -2=-2\end{array}$

Hence, at $k=-32$ , Left hand side is equal to right hand side.