Answer
$m=-5$
Work Step by Step
$$\begin{align*}
-4(2m)+(-4)(5)-3m&=35 &\text{Apply the Distributive Property.}\\
-8m-20-3m&=35 &\text{Simplify.}\\
-11m-20&=35 &\text{Combine like terms.}\\
-11m-20+20&=35+20 &\text{Add 20 to both sides.}\\
-11m&=55 &\text{Simplify.}\\
\frac{-11m}{-11}&=\frac{55}{-11} &\text{Divide -11 to both sides.}\\
m&=-5 &\text{Simplify.}\\
\end{align*}$$
Check the answer by substituting $-5$ to the variable $m$ in the given equation.
$$\begin{align*}
-4(2m+5)-3m&=35\\
-4[2(-5)+5]-3(-5)&\stackrel{?}{=}35\\
-4(-5)+15&\stackrel{?}{=}35\\
35&\stackrel{\checkmark}{=}35
\end{align*}$$
Thus, the solution is $m=-5$.
