Answer
w=5
Work Step by Step
Simplifying
7(w + -4) = w + 2
Reorder the terms:
7(-4 + w) = w + 2
(-4 * 7 + w * 7) = w + 2
(-28 + 7w) = w + 2
Reorder the terms:
-28 + 7w = 2 + w
Solving
-28 + 7w = 2 + w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-1w' to each side of the equation.
-28 + 7w + -1w = 2 + w + -1w
Combine like terms: 7w + -1w = 6w
-28 + 6w = 2 + w + -1w
Combine like terms: w + -1w = 0
-28 + 6w = 2 + 0
-28 + 6w = 2
Add '28' to each side of the equation.
-28 + 28 + 6w = 2 + 28
Combine like terms: -28 + 28 = 0
0 + 6w = 2 + 28
6w = 2 + 28
Combine like terms: 2 + 28 = 30
6w = 30
Divide each side by '6'.
w = 5
Simplifying
w = 5
