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Simplifying -6(3w + -5) + 9w = 3(w + 5) Reorder the terms: -6(-5 + 3w) + 9w = 3(w + 5) (-5 * -6 + 3w * -6) + 9w = 3(w + 5) (30 + -18w) + 9w = 3(w + 5) Combine like terms: -18w + 9w = -9w 30 + -9w = 3(w + 5) Reorder the terms: 30 + -9w = 3(5 + w) 30 + -9w = (5 * 3 + w * 3) 30 + -9w = (15 + 3w) Solving 30 + -9w = 15 + 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. 30 + -9w + -3w = 15 + 3w + -3w Combine like terms: -9w + -3w = -12w 30 + -12w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 30 + -12w = 15 + 0 30 + -12w = 15 Add '-30' to each side of the equation. 30 + -30 + -12w = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -12w = 15 + -30 -12w = 15 + -30 Combine like terms: 15 + -30 = -15 -12w = -15 Divide each side by '-12'. w = 1.25 Simplifying w = 1.25
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