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Simplifying 12w + 3(-14w + 20) = -20 + -20w Reorder the terms: 12w + 3(20 + -14w) = -20 + -20w 12w + (20 * 3 + -14w * 3) = -20 + -20w 12w + (60 + -42w) = -20 + -20w Reorder the terms: 60 + 12w + -42w = -20 + -20w Combine like terms: 12w + -42w = -30w 60 + -30w = -20 + -20w Solving 60 + -30w = -20 + -20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20w' to each side of the equation. 60 + -30w + 20w = -20 + -20w + 20w Combine like terms: -30w + 20w = -10w 60 + -10w = -20 + -20w + 20w Combine like terms: -20w + 20w = 0 60 + -10w = -20 + 0 60 + -10w = -20 Add '-60' to each side of the equation. 60 + -60 + -10w = -20 + -60 Combine like terms: 60 + -60 = 0 0 + -10w = -20 + -60 -10w = -20 + -60 Combine like terms: -20 + -60 = -80 -10w = -80 Divide each side by '-10'. w = 8 Simplifying w = 8
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