4(5+w)=3(w-8)

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Solution for 4(5+w)=3(w-8) equation: 


Simplifying
4(5 + w) = 3(w + -8)
(5 * 4 + w * 4) = 3(w + -8)
(20 + 4w) = 3(w + -8)

Reorder the terms:
20 + 4w = 3(-8 + w)
20 + 4w = (-8 * 3 + w * 3)
20 + 4w = (-24 + 3w)

Solving
20 + 4w = -24 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
20 + 4w + -3w = -24 + 3w + -3w

Combine like terms: 4w + -3w = 1w
20 + 1w = -24 + 3w + -3w

Combine like terms: 3w + -3w = 0
20 + 1w = -24 + 0
20 + 1w = -24

Add '-20' to each side of the equation.
20 + -20 + 1w = -24 + -20

Combine like terms: 20 + -20 = 0
0 + 1w = -24 + -20
1w = -24 + -20

Combine like terms: -24 + -20 = -44
1w = -44

Divide each side by '1'.
w = -44

Simplifying
w = -44

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