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