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Simplifying -3(2w + -3) + w = 5(w + 5) Reorder the terms: -3(-3 + 2w) + w = 5(w + 5) (-3 * -3 + 2w * -3) + w = 5(w + 5) (9 + -6w) + w = 5(w + 5) Combine like terms: -6w + w = -5w 9 + -5w = 5(w + 5) Reorder the terms: 9 + -5w = 5(5 + w) 9 + -5w = (5 * 5 + w * 5) 9 + -5w = (25 + 5w) Solving 9 + -5w = 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 + -5w + -5w = 25 + 5w + -5w Combine like terms: -5w + -5w = -10w 9 + -10w = 25 + 5w + -5w Combine like terms: 5w + -5w = 0 9 + -10w = 25 + 0 9 + -10w = 25 Add '-9' to each side of the equation. 9 + -9 + -10w = 25 + -9 Combine like terms: 9 + -9 = 0 0 + -10w = 25 + -9 -10w = 25 + -9 Combine like terms: 25 + -9 = 16 -10w = 16 Divide each side by '-10'. w = -1.6 Simplifying w = -1.6
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