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Simplifying 20 + -1w + 1 = -9w + 7(4w + -17) Reorder the terms: 20 + 1 + -1w = -9w + 7(4w + -17) Combine like terms: 20 + 1 = 21 21 + -1w = -9w + 7(4w + -17) Reorder the terms: 21 + -1w = -9w + 7(-17 + 4w) 21 + -1w = -9w + (-17 * 7 + 4w * 7) 21 + -1w = -9w + (-119 + 28w) Reorder the terms: 21 + -1w = -119 + -9w + 28w Combine like terms: -9w + 28w = 19w 21 + -1w = -119 + 19w Solving 21 + -1w = -119 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. 21 + -1w + -19w = -119 + 19w + -19w Combine like terms: -1w + -19w = -20w 21 + -20w = -119 + 19w + -19w Combine like terms: 19w + -19w = 0 21 + -20w = -119 + 0 21 + -20w = -119 Add '-21' to each side of the equation. 21 + -21 + -20w = -119 + -21 Combine like terms: 21 + -21 = 0 0 + -20w = -119 + -21 -20w = -119 + -21 Combine like terms: -119 + -21 = -140 -20w = -140 Divide each side by '-20'. w = 7 Simplifying w = 7
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