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Simplifying -3w + 19 + -20w = -17 + -20w Reorder the terms: 19 + -3w + -20w = -17 + -20w Combine like terms: -3w + -20w = -23w 19 + -23w = -17 + -20w Solving 19 + -23w = -17 + -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. 19 + -23w + 20w = -17 + -20w + 20w Combine like terms: -23w + 20w = -3w 19 + -3w = -17 + -20w + 20w Combine like terms: -20w + 20w = 0 19 + -3w = -17 + 0 19 + -3w = -17 Add '-19' to each side of the equation. 19 + -19 + -3w = -17 + -19 Combine like terms: 19 + -19 = 0 0 + -3w = -17 + -19 -3w = -17 + -19 Combine like terms: -17 + -19 = -36 -3w = -36 Divide each side by '-3'. w = 12 Simplifying w = 12
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