Answer
$m=3$
Work Step by Step
$$\begin{align*}
6+5(m+1)-6&=26-6 &\text{Subtract 6 from each side.}\\
5(m+1)&=20 &\text{Simplify.}\\
\frac{5(m+1)}{5}&=\frac{20}{5} &\text{Divide 5 to both sides..}\\
m+1&=4 &\text{Simplify.}\\
m+1-1&=4-1 &\text{Subtract 1 from each side.}\\
m&=3&\text{Simplify.}
\end{align*}$$
Check the answer by substituting $3$ to the variable in the given equation.
$$\begin{align*}
6+5(m+1)&=26\\
6+5(3+1)&\stackrel{?}{=}26\\
6+20&\stackrel{?}{=}26\\
26&\stackrel{\checkmark}{=}26
\end{align*}$$
Thus, the solution is $m=3$.
