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Simplifying -7w + 9 = -5(w + -5) Reorder the terms: 9 + -7w = -5(w + -5) Reorder the terms: 9 + -7w = -5(-5 + w) 9 + -7w = (-5 * -5 + w * -5) 9 + -7w = (25 + -5w) Solving 9 + -7w = 25 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 9 + -7w + 5w = 25 + -5w + 5w Combine like terms: -7w + 5w = -2w 9 + -2w = 25 + -5w + 5w Combine like terms: -5w + 5w = 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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