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Simplifying -12w + 17 = 20w + -4 + 10w Reorder the terms: 17 + -12w = 20w + -4 + 10w Reorder the terms: 17 + -12w = -4 + 20w + 10w Combine like terms: 20w + 10w = 30w 17 + -12w = -4 + 30w Solving 17 + -12w = -4 + 30w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30w' to each side of the equation. 17 + -12w + -30w = -4 + 30w + -30w Combine like terms: -12w + -30w = -42w 17 + -42w = -4 + 30w + -30w Combine like terms: 30w + -30w = 0 17 + -42w = -4 + 0 17 + -42w = -4 Add '-17' to each side of the equation. 17 + -17 + -42w = -4 + -17 Combine like terms: 17 + -17 = 0 0 + -42w = -4 + -17 -42w = -4 + -17 Combine like terms: -4 + -17 = -21 -42w = -21 Divide each side by '-42'. w = 0.5 Simplifying w = 0.5
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