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Simplifying 17 = -1(3 + w) + 7 17 = (3 * -1 + w * -1) + 7 17 = (-3 + -1w) + 7 Reorder the terms: 17 = -3 + 7 + -1w Combine like terms: -3 + 7 = 4 17 = 4 + -1w Solving 17 = 4 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 17 + w = 4 + -1w + w Combine like terms: -1w + w = 0 17 + w = 4 + 0 17 + w = 4 Add '-17' to each side of the equation. 17 + -17 + w = 4 + -17 Combine like terms: 17 + -17 = 0 0 + w = 4 + -17 w = 4 + -17 Combine like terms: 4 + -17 = -13 w = -13 Simplifying w = -13
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