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Simplifying -9 = 5(w + -5) + -7w Reorder the terms: -9 = 5(-5 + w) + -7w -9 = (-5 * 5 + w * 5) + -7w -9 = (-25 + 5w) + -7w Combine like terms: 5w + -7w = -2w -9 = -25 + -2w Solving -9 = -25 + -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. -9 + 2w = -25 + -2w + 2w Combine like terms: -2w + 2w = 0 -9 + 2w = -25 + 0 -9 + 2w = -25 Add '9' to each side of the equation. -9 + 9 + 2w = -25 + 9 Combine like terms: -9 + 9 = 0 0 + 2w = -25 + 9 2w = -25 + 9 Combine like terms: -25 + 9 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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