Question

Solve each equation. Check your solution.

$-34=6\mathrm{m}-4$

Short answer

The solution of the given equation is $m=-5$.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$-34=6m-4$”.

Step 2. Solve the given equation.

Solving,

$-34=6m-4$ (Given equation)

$-34+4=6m-4+4$ (Add 4 to both sides)

$-30=6m$ (Simplify)

$\frac{-30}{6}=\frac{6m}{6}$ (Divide both sides by 6)

$-5=m$ (Simplify)

$m=-5$ (Write the variable on the left-hand side)

So, $m=-5$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $m=-5$in the given equation $-34=6m-4$to get,

$\begin{array}{l}-34=6\left(-5\right)-4\\ -34=-30-4\\ -34=-34\end{array}$

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.