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Simplifying -10(w + -6) + 9w = 4(w + 2) Reorder the terms: -10(-6 + w) + 9w = 4(w + 2) (-6 * -10 + w * -10) + 9w = 4(w + 2) (60 + -10w) + 9w = 4(w + 2) Combine like terms: -10w + 9w = -1w 60 + -1w = 4(w + 2) Reorder the terms: 60 + -1w = 4(2 + w) 60 + -1w = (2 * 4 + w * 4) 60 + -1w = (8 + 4w) Solving 60 + -1w = 8 + 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 = 8 + 4w + -4w Combine like terms: -1w + -4w = -5w 60 + -5w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 60 + -5w = 8 + 0 60 + -5w = 8 Add '-60' to each side of the equation. 60 + -60 + -5w = 8 + -60 Combine like terms: 60 + -60 = 0 0 + -5w = 8 + -60 -5w = 8 + -60 Combine like terms: 8 + -60 = -52 -5w = -52 Divide each side by '-5'. w = 10.4 Simplifying w = 10.4
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