-13=2(w+6)-7w

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Solution for -13=2(w+6)-7w equation: 


Simplifying
-13 = 2(w + 6) + -7w

Reorder the terms:
-13 = 2(6 + w) + -7w
-13 = (6 * 2 + w * 2) + -7w
-13 = (12 + 2w) + -7w

Combine like terms: 2w + -7w = -5w
-13 = 12 + -5w

Solving
-13 = 12 + -5w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '5w' to each side of the equation.
-13 + 5w = 12 + -5w + 5w

Combine like terms: -5w + 5w = 0
-13 + 5w = 12 + 0
-13 + 5w = 12

Add '13' to each side of the equation.
-13 + 13 + 5w = 12 + 13

Combine like terms: -13 + 13 = 0
0 + 5w = 12 + 13
5w = 12 + 13

Combine like terms: 12 + 13 = 25
5w = 25

Divide each side by '5'.
w = 5

Simplifying
w = 5

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