-79 = 7w + 3(4w – 1)​

Mathematics · Middle School · Sun Jan 24 2021

Answered on

Given the equation:

-79 = 7w + 3(4w – 1)

Solve for w.

Solution:

In order to solve for w, we start first by distributing 3 to each value inside the parenthesis.

-79 = 7w + 3(4w - 1)

-79 = 7w + 12w - 3

Combine similar terms.

-79 = 19w - 3

Transpose -3 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

19w = -79 + 3

19w = -76

19w/19 = -76/19

w = -4

Final answer:

w = -4