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Simplifying -10(w + -6) + 9w = 5(w + 3) Reorder the terms: -10(-6 + w) + 9w = 5(w + 3) (-6 * -10 + w * -10) + 9w = 5(w + 3) (60 + -10w) + 9w = 5(w + 3) Combine like terms: -10w + 9w = -1w 60 + -1w = 5(w + 3) Reorder the terms: 60 + -1w = 5(3 + w) 60 + -1w = (3 * 5 + w * 5) 60 + -1w = (15 + 5w) Solving 60 + -1w = 15 + 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. 60 + -1w + -5w = 15 + 5w + -5w Combine like terms: -1w + -5w = -6w 60 + -6w = 15 + 5w + -5w Combine like terms: 5w + -5w = 0 60 + -6w = 15 + 0 60 + -6w = 15 Add '-60' to each side of the equation. 60 + -60 + -6w = 15 + -60 Combine like terms: 60 + -60 = 0 0 + -6w = 15 + -60 -6w = 15 + -60 Combine like terms: 15 + -60 = -45 -6w = -45 Divide each side by '-6'. w = 7.5 Simplifying w = 7.5
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