4(3w+5)+3w=7(w+8)-20

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Solution for 4(3w+5)+3w=7(w+8)-20 equation: 


Simplifying
4(3w + 5) + 3w = 7(w + 8) + -20

Reorder the terms:
4(5 + 3w) + 3w = 7(w + 8) + -20
(5 * 4 + 3w * 4) + 3w = 7(w + 8) + -20
(20 + 12w) + 3w = 7(w + 8) + -20

Combine like terms: 12w + 3w = 15w
20 + 15w = 7(w + 8) + -20

Reorder the terms:
20 + 15w = 7(8 + w) + -20
20 + 15w = (8 * 7 + w * 7) + -20
20 + 15w = (56 + 7w) + -20

Reorder the terms:
20 + 15w = 56 + -20 + 7w

Combine like terms: 56 + -20 = 36
20 + 15w = 36 + 7w

Solving
20 + 15w = 36 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
20 + 15w + -7w = 36 + 7w + -7w

Combine like terms: 15w + -7w = 8w
20 + 8w = 36 + 7w + -7w

Combine like terms: 7w + -7w = 0
20 + 8w = 36 + 0
20 + 8w = 36

Add '-20' to each side of the equation.
20 + -20 + 8w = 36 + -20

Combine like terms: 20 + -20 = 0
0 + 8w = 36 + -20
8w = 36 + -20

Combine like terms: 36 + -20 = 16
8w = 16

Divide each side by '8'.
w = 2

Simplifying
w = 2

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