-7=5(w+3)+6w

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Solution for -7=5(w+3)+6w equation:


Simplifying
-7 = 5(w + 3) + 6w

Reorder the terms:
-7 = 5(3 + w) + 6w
-7 = (3 * 5 + w * 5) + 6w
-7 = (15 + 5w) + 6w

Combine like terms: 5w + 6w = 11w
-7 = 15 + 11w

Solving
-7 = 15 + 11w

Solving for variable 'w'.

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

Add '-11w' to each side of the equation.
-7 + -11w = 15 + 11w + -11w

Combine like terms: 11w + -11w = 0
-7 + -11w = 15 + 0
-7 + -11w = 15

Add '7' to each side of the equation.
-7 + 7 + -11w = 15 + 7

Combine like terms: -7 + 7 = 0
0 + -11w = 15 + 7
-11w = 15 + 7

Combine like terms: 15 + 7 = 22
-11w = 22

Divide each side by '-11'.
w = -2

Simplifying
w = -2

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