Question

please help me out
The equation 9(w + 7) = 27 solved in several steps below.
For each step, choose the reason that best justifies it.
The options are the same for each one.

Answer 1

For this case we have the following equation:

$9 (w + 7) = 27$

To solve we follow the steps below:

We apply Distributive Property to the terms of parentheses:

$9w + 63 = 27$

We apply Subtraction Property of equality by subtracting 63 from both sides of the equation:

$9w + 63-63 = 27-63\\9w = -36$

We apply Division Property of equality by dividing by 9 on both sides of the equation:

$\frac {9w} {9} = \frac {-36} {9}$

simplifiying

w = -4

Answer:

$w = -4$