1. write an equation to solve the following. show all your work, including the steps for solving the equation and checking your answer. –4 times a number plus 16 is –116. find the number. explain and list out your answers. will give brainiest to the right person.

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

To begin with, let's translate the word problem into a mathematic equation as displayed below:

Let x = unknown number

- 4x + 16 = - 116

We will begin by taking 16 to the right-hand side and simplifying.

- 4x + 16 = - 116

- 4x = - 116 - 16

- 4x = - 132

From here, we will make ( x ) the subject by taking the - 4 to the right-hand side and dividing the - 132 by the - 4.

- 4x = - 132

x = - 132 / - 4

Now, we simplify again to achieve the final answer.

x = - 132 / - 4

x = 33

ANSWER:

Therefore, the unknown number is 33.