-20w+2(-17w-14)=8(-7w+18)

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Solution for -20w+2(-17w-14)=8(-7w+18) equation:


Simplifying
-20w + 2(-17w + -14) = 8(-7w + 18)

Reorder the terms:
-20w + 2(-14 + -17w) = 8(-7w + 18)
-20w + (-14 * 2 + -17w * 2) = 8(-7w + 18)
-20w + (-28 + -34w) = 8(-7w + 18)

Reorder the terms:
-28 + -20w + -34w = 8(-7w + 18)

Combine like terms: -20w + -34w = -54w
-28 + -54w = 8(-7w + 18)

Reorder the terms:
-28 + -54w = 8(18 + -7w)
-28 + -54w = (18 * 8 + -7w * 8)
-28 + -54w = (144 + -56w)

Solving
-28 + -54w = 144 + -56w

Solving for variable 'w'.

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

Add '56w' to each side of the equation.
-28 + -54w + 56w = 144 + -56w + 56w

Combine like terms: -54w + 56w = 2w
-28 + 2w = 144 + -56w + 56w

Combine like terms: -56w + 56w = 0
-28 + 2w = 144 + 0
-28 + 2w = 144

Add '28' to each side of the equation.
-28 + 28 + 2w = 144 + 28

Combine like terms: -28 + 28 = 0
0 + 2w = 144 + 28
2w = 144 + 28

Combine like terms: 144 + 28 = 172
2w = 172

Divide each side by '2'.
w = 86

Simplifying
w = 86

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