For this case we have the following equation:
[tex]9 (w + 7) = 27[/tex]
To solve we follow the steps below:
We apply Distributive Property to the terms of parentheses:
[tex]9w + 63 = 27[/tex]
We apply Subtraction Property of equality by subtracting 63 from both sides of the equation:
[tex]9w + 63-63 = 27-63\\9w = -36[/tex]
We apply Division Property of equality by dividing by 9 on both sides of the equation:
[tex]\frac {9w} {9} = \frac {-36} {9}[/tex]
simplifiying
w = -4
Answer:
[tex]w = -4[/tex]