-2(5w-8)+7w=5(w+2)

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Solution for -2(5w-8)+7w=5(w+2) equation: 


Simplifying
-2(5w + -8) + 7w = 5(w + 2)

Reorder the terms:
-2(-8 + 5w) + 7w = 5(w + 2)
(-8 * -2 + 5w * -2) + 7w = 5(w + 2)
(16 + -10w) + 7w = 5(w + 2)

Combine like terms: -10w + 7w = -3w
16 + -3w = 5(w + 2)

Reorder the terms:
16 + -3w = 5(2 + w)
16 + -3w = (2 * 5 + w * 5)
16 + -3w = (10 + 5w)

Solving
16 + -3w = 10 + 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.
16 + -3w + -5w = 10 + 5w + -5w

Combine like terms: -3w + -5w = -8w
16 + -8w = 10 + 5w + -5w

Combine like terms: 5w + -5w = 0
16 + -8w = 10 + 0
16 + -8w = 10

Add '-16' to each side of the equation.
16 + -16 + -8w = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -8w = 10 + -16
-8w = 10 + -16

Combine like terms: 10 + -16 = -6
-8w = -6

Divide each side by '-8'.
w = 0.75

Simplifying
w = 0.75

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