6(w+7)=5w-8

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Solution for 6(w+7)=5w-8 equation:


Simplifying
6(w + 7) = 5w + -8

Reorder the terms:
6(7 + w) = 5w + -8
(7 * 6 + w * 6) = 5w + -8
(42 + 6w) = 5w + -8

Reorder the terms:
42 + 6w = -8 + 5w

Solving
42 + 6w = -8 + 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.
42 + 6w + -5w = -8 + 5w + -5w

Combine like terms: 6w + -5w = 1w
42 + 1w = -8 + 5w + -5w

Combine like terms: 5w + -5w = 0
42 + 1w = -8 + 0
42 + 1w = -8

Add '-42' to each side of the equation.
42 + -42 + 1w = -8 + -42

Combine like terms: 42 + -42 = 0
0 + 1w = -8 + -42
1w = -8 + -42

Combine like terms: -8 + -42 = -50
1w = -50

Divide each side by '1'.
w = -50

Simplifying
w = -50

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