3(5w+5)+3w=7(w+8)-30

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Solution for 3(5w+5)+3w=7(w+8)-30 equation: 


Simplifying
3(5w + 5) + 3w = 7(w + 8) + -30

Reorder the terms:
3(5 + 5w) + 3w = 7(w + 8) + -30
(5 * 3 + 5w * 3) + 3w = 7(w + 8) + -30
(15 + 15w) + 3w = 7(w + 8) + -30

Combine like terms: 15w + 3w = 18w
15 + 18w = 7(w + 8) + -30

Reorder the terms:
15 + 18w = 7(8 + w) + -30
15 + 18w = (8 * 7 + w * 7) + -30
15 + 18w = (56 + 7w) + -30

Reorder the terms:
15 + 18w = 56 + -30 + 7w

Combine like terms: 56 + -30 = 26
15 + 18w = 26 + 7w

Solving
15 + 18w = 26 + 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.
15 + 18w + -7w = 26 + 7w + -7w

Combine like terms: 18w + -7w = 11w
15 + 11w = 26 + 7w + -7w

Combine like terms: 7w + -7w = 0
15 + 11w = 26 + 0
15 + 11w = 26

Add '-15' to each side of the equation.
15 + -15 + 11w = 26 + -15

Combine like terms: 15 + -15 = 0
0 + 11w = 26 + -15
11w = 26 + -15

Combine like terms: 26 + -15 = 11
11w = 11

Divide each side by '11'.
w = 1

Simplifying
w = 1

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