Chapter 1.2, Problem 18E

To determine

To calculate: To solve the equation and check your solution

Answer to Problem 18E

Solution of equation is $g=-3$

Explanation of Solution

Given: Equation is $-2\left(4g-3\right)=30$

Calculation:

Equation is given as follows:

  $-2\left(4g-3\right)=30$

On solving the above equation:

  $\begin{array}{l}\left(4g-3\right)=\frac{30}{-2}\\ 4g-3=-15\\ 4g=-15+3\\ g=\frac{-12}{4}\\ g=-3\end{array}$

Checking the Solution:

Substitute $g=-3$ in the left side of equation $-2\left(4g-3\right)=30$

  $\begin{array}{l}\Rightarrow -2\left(4\left(-3\right)-3\right)\\ \Rightarrow -2\left(-12-3\right)\\ \Rightarrow -2\left(-15\right)\\ \Rightarrow 30\end{array}$

Left hand side of equation is equal to right hand side of equation.

Thus, $g=-3$ is solution of equation.

Conclusion:

Hence, solution of equation is $g=-3$