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Simplifying -10(w + -6) + 9w = 4(w + 3) Reorder the terms: -10(-6 + w) + 9w = 4(w + 3) (-6 * -10 + w * -10) + 9w = 4(w + 3) (60 + -10w) + 9w = 4(w + 3) Combine like terms: -10w + 9w = -1w 60 + -1w = 4(w + 3) Reorder the terms: 60 + -1w = 4(3 + w) 60 + -1w = (3 * 4 + w * 4) 60 + -1w = (12 + 4w) Solving 60 + -1w = 12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 60 + -1w + -4w = 12 + 4w + -4w Combine like terms: -1w + -4w = -5w 60 + -5w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 60 + -5w = 12 + 0 60 + -5w = 12 Add '-60' to each side of the equation. 60 + -60 + -5w = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -5w = 12 + -60 -5w = 12 + -60 Combine like terms: 12 + -60 = -48 -5w = -48 Divide each side by '-5'. w = 9.6 Simplifying w = 9.6
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