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Simplifying -5(2w + -6) + w = 3(w + 8) Reorder the terms: -5(-6 + 2w) + w = 3(w + 8) (-6 * -5 + 2w * -5) + w = 3(w + 8) (30 + -10w) + w = 3(w + 8) Combine like terms: -10w + w = -9w 30 + -9w = 3(w + 8) Reorder the terms: 30 + -9w = 3(8 + w) 30 + -9w = (8 * 3 + w * 3) 30 + -9w = (24 + 3w) Solving 30 + -9w = 24 + 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 = 24 + 3w + -3w Combine like terms: -9w + -3w = -12w 30 + -12w = 24 + 3w + -3w Combine like terms: 3w + -3w = 0 30 + -12w = 24 + 0 30 + -12w = 24 Add '-30' to each side of the equation. 30 + -30 + -12w = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -12w = 24 + -30 -12w = 24 + -30 Combine like terms: 24 + -30 = -6 -12w = -6 Divide each side by '-12'. w = 0.5 Simplifying w = 0.5
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