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Simplifying 8w + 5(w + 6) = 17 Reorder the terms: 8w + 5(6 + w) = 17 8w + (6 * 5 + w * 5) = 17 8w + (30 + 5w) = 17 Reorder the terms: 30 + 8w + 5w = 17 Combine like terms: 8w + 5w = 13w 30 + 13w = 17 Solving 30 + 13w = 17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 13w = 17 + -30 Combine like terms: 30 + -30 = 0 0 + 13w = 17 + -30 13w = 17 + -30 Combine like terms: 17 + -30 = -13 13w = -13 Divide each side by '13'. w = -1 Simplifying w = -1
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