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Simplifying 17 = -5(3 + w) + w 17 = (3 * -5 + w * -5) + w 17 = (-15 + -5w) + w Combine like terms: -5w + w = -4w 17 = -15 + -4w Solving 17 = -15 + -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 = -15 + -4w + 4w Combine like terms: -4w + 4w = 0 17 + 4w = -15 + 0 17 + 4w = -15 Add '-17' to each side of the equation. 17 + -17 + 4w = -15 + -17 Combine like terms: 17 + -17 = 0 0 + 4w = -15 + -17 4w = -15 + -17 Combine like terms: -15 + -17 = -32 4w = -32 Divide each side by '4'. w = -8 Simplifying w = -8
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