4(w+5)=-2(5w-8)+6w

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Solution for 4(w+5)=-2(5w-8)+6w equation: 


Simplifying
4(w + 5) = -2(5w + -8) + 6w

Reorder the terms:
4(5 + w) = -2(5w + -8) + 6w
(5 * 4 + w * 4) = -2(5w + -8) + 6w
(20 + 4w) = -2(5w + -8) + 6w

Reorder the terms:
20 + 4w = -2(-8 + 5w) + 6w
20 + 4w = (-8 * -2 + 5w * -2) + 6w
20 + 4w = (16 + -10w) + 6w

Combine like terms: -10w + 6w = -4w
20 + 4w = 16 + -4w

Solving
20 + 4w = 16 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
20 + 4w + 4w = 16 + -4w + 4w

Combine like terms: 4w + 4w = 8w
20 + 8w = 16 + -4w + 4w

Combine like terms: -4w + 4w = 0
20 + 8w = 16 + 0
20 + 8w = 16

Add '-20' to each side of the equation.
20 + -20 + 8w = 16 + -20

Combine like terms: 20 + -20 = 0
0 + 8w = 16 + -20
8w = 16 + -20

Combine like terms: 16 + -20 = -4
8w = -4

Divide each side by '8'.
w = -0.5

Simplifying
w = -0.5

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