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Simplifying 17 = 13w + -1(6 + 9w) 17 = 13w + (6 * -1 + 9w * -1) 17 = 13w + (-6 + -9w) Reorder the terms: 17 = -6 + 13w + -9w Combine like terms: 13w + -9w = 4w 17 = -6 + 4w Solving 17 = -6 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 17 + -4w = -6 + 4w + -4w Combine like terms: 4w + -4w = 0 17 + -4w = -6 + 0 17 + -4w = -6 Add '-17' to each side of the equation. 17 + -17 + -4w = -6 + -17 Combine like terms: 17 + -17 = 0 0 + -4w = -6 + -17 -4w = -6 + -17 Combine like terms: -6 + -17 = -23 -4w = -23 Divide each side by '-4'. w = 5.75 Simplifying w = 5.75
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