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Simplifying -5(w + -5) = -3w + 9 Reorder the terms: -5(-5 + w) = -3w + 9 (-5 * -5 + w * -5) = -3w + 9 (25 + -5w) = -3w + 9 Reorder the terms: 25 + -5w = 9 + -3w Solving 25 + -5w = 9 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 25 + -5w + 3w = 9 + -3w + 3w Combine like terms: -5w + 3w = -2w 25 + -2w = 9 + -3w + 3w Combine like terms: -3w + 3w = 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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