5w+6(w-7)=-31

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Solution for 5w+6(w-7)=-31 equation:


Simplifying
5w + 6(w + -7) = -31

Reorder the terms:
5w + 6(-7 + w) = -31
5w + (-7 * 6 + w * 6) = -31
5w + (-42 + 6w) = -31

Reorder the terms:
-42 + 5w + 6w = -31

Combine like terms: 5w + 6w = 11w
-42 + 11w = -31

Solving
-42 + 11w = -31

Solving for variable 'w'.

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

Add '42' to each side of the equation.
-42 + 42 + 11w = -31 + 42

Combine like terms: -42 + 42 = 0
0 + 11w = -31 + 42
11w = -31 + 42

Combine like terms: -31 + 42 = 11
11w = 11

Divide each side by '11'.
w = 1

Simplifying
w = 1

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