Question

Solve each equation. Check your solution.

$-6\mathrm{m}-8=24$

Short answer

The solution of the given equation is $m=-\frac{16}{3}$.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$-6m-8=24$”.

Step 2. Solve the given equation.

Solving,

$-6m-8=24$ (Given equation)

$-6m-8+8=24+8$ (Add 8 to both sides)

$-6m=32$ (Simplify)

$\frac{-6m}{-6}=\frac{32}{-6}$ (Divide both sides by $-6$)

$m=-\frac{16}{3}$ (Simplify)

So, $m=-\frac{16}{3}$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $m=-\frac{16}{3}$in the given equation $-6m-8=24$to get,

$\begin{array}{l}-6\left(-\frac{16}{3}\right)-8=24\\ -2\left(-16\right)-8=24\\ 32-8=24\\ 24=24\end{array}$

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.