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Simplifying -27 = 5(w + -7) + -7w Reorder the terms: -27 = 5(-7 + w) + -7w -27 = (-7 * 5 + w * 5) + -7w -27 = (-35 + 5w) + -7w Combine like terms: 5w + -7w = -2w -27 = -35 + -2w Solving -27 = -35 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -27 + 2w = -35 + -2w + 2w Combine like terms: -2w + 2w = 0 -27 + 2w = -35 + 0 -27 + 2w = -35 Add '27' to each side of the equation. -27 + 27 + 2w = -35 + 27 Combine like terms: -27 + 27 = 0 0 + 2w = -35 + 27 2w = -35 + 27 Combine like terms: -35 + 27 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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