8w+7=5w-4

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Solution for 8w+7=5w-4 equation:


Simplifying
8w + 7 = 5w + -4

Reorder the terms:
7 + 8w = 5w + -4

Reorder the terms:
7 + 8w = -4 + 5w

Solving
7 + 8w = -4 + 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.
7 + 8w + -5w = -4 + 5w + -5w

Combine like terms: 8w + -5w = 3w
7 + 3w = -4 + 5w + -5w

Combine like terms: 5w + -5w = 0
7 + 3w = -4 + 0
7 + 3w = -4

Add '-7' to each side of the equation.
7 + -7 + 3w = -4 + -7

Combine like terms: 7 + -7 = 0
0 + 3w = -4 + -7
3w = -4 + -7

Combine like terms: -4 + -7 = -11
3w = -11

Divide each side by '3'.
w = -3.666666667

Simplifying
w = -3.666666667

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