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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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