5(3w+4)+3w=8(w+8)-34

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Solution for 5(3w+4)+3w=8(w+8)-34 equation: 


Simplifying
5(3w + 4) + 3w = 8(w + 8) + -34

Reorder the terms:
5(4 + 3w) + 3w = 8(w + 8) + -34
(4 * 5 + 3w * 5) + 3w = 8(w + 8) + -34
(20 + 15w) + 3w = 8(w + 8) + -34

Combine like terms: 15w + 3w = 18w
20 + 18w = 8(w + 8) + -34

Reorder the terms:
20 + 18w = 8(8 + w) + -34
20 + 18w = (8 * 8 + w * 8) + -34
20 + 18w = (64 + 8w) + -34

Reorder the terms:
20 + 18w = 64 + -34 + 8w

Combine like terms: 64 + -34 = 30
20 + 18w = 30 + 8w

Solving
20 + 18w = 30 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
20 + 18w + -8w = 30 + 8w + -8w

Combine like terms: 18w + -8w = 10w
20 + 10w = 30 + 8w + -8w

Combine like terms: 8w + -8w = 0
20 + 10w = 30 + 0
20 + 10w = 30

Add '-20' to each side of the equation.
20 + -20 + 10w = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 10w = 30 + -20
10w = 30 + -20

Combine like terms: 30 + -20 = 10
10w = 10

Divide each side by '10'.
w = 1

Simplifying
w = 1

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