Answer
$g=-3$
Work Step by Step
$$\begin{align*}
\frac{-2(4g-3)}{-2}&=\frac{30}{-2} &\text{Divide -2 to both sides..}\\
4g-3&=-15 &\text{Simplify.}\\
4g-3+3&=-15+3 &\text{Add 3 to both sides.}\\
4g&=-12 &\text{Simplify.}\\
\frac{4g}{4}&=\frac{-12}{4} &\text{Divide 4 to both sides.}\\
g&=-3&\text{Simplify.}
\end{align*}$$
Check the answer by substituting $-3$ to the variable in the given equation.
$$\begin{align*}
-2(4g-3)&=30\\
-2(4\cdot(-3)-3)&\stackrel{?}{=}30\\
-2(-15)&\stackrel{?}{=}30\\
30&\stackrel{\checkmark}{=}30
\end{align*}$$
Thus, the solution is $g=-3$.
