Chapter 4.3, Problem 30PPS

To determine

To calculate:To solve the equation, then check your solution

Answer to Problem 30PPS

On solving equation, $f=-52$

Explanation of Solution

Given information:Equation is $f-\left(-40\right)=-12$

Calculation:

Equation is given as

  $f-\left(-40\right)=-12$

On solving above equation,

  $\begin{array}{l}f+40=-12\\ f=-12-40\\ f=-52\end{array}$

In order to check the solution, substitute $f=-52$ in the given equation

Left hand side of equation is solved as follows:

  $\begin{array}{l}\Rightarrow -52-\left(-40\right)\\ \Rightarrow -52+40\\ \Rightarrow -12\end{array}$

Now, Left hand side of equation is equal to right hand side

Thus, $f=-52$ is the solution

Conclusion:

Hence, $f=-52$ is solution of the equation $f-\left(-40\right)=-12$