Answer
$c=-2$
Work Step by Step
$$\begin{align*}
4c-8&=-16 &\text{Combine like terms.}\\
4c-8+8&=-16+8 &\text{Add 8 to both sides.}\\
4c&=-8 &\text{Simplify.}\\
\frac{4c}{4}&=\frac{-8}{4} &\text{Divide both sides by 4.}\\
c&=-2&\text{Simplify.}
\end{align*}$$
Check the answer by substituting $-2$ to the variable in the given equation.
$$\begin{align*}
6c-8-2c&=-16\\
6(-2)-8-2(-2)&\stackrel{?}{=}-16\\
-12-8+4&\stackrel{?}{=}-16\\
-16&\stackrel{\checkmark}{=}-16
\end{align*}$$
Thus, the solution is $c=-2$.
