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Simplifying 3(w + 6) = 8w + -17 Reorder the terms: 3(6 + w) = 8w + -17 (6 * 3 + w * 3) = 8w + -17 (18 + 3w) = 8w + -17 Reorder the terms: 18 + 3w = -17 + 8w Solving 18 + 3w = -17 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 18 + 3w + -8w = -17 + 8w + -8w Combine like terms: 3w + -8w = -5w 18 + -5w = -17 + 8w + -8w Combine like terms: 8w + -8w = 0 18 + -5w = -17 + 0 18 + -5w = -17 Add '-18' to each side of the equation. 18 + -18 + -5w = -17 + -18 Combine like terms: 18 + -18 = 0 0 + -5w = -17 + -18 -5w = -17 + -18 Combine like terms: -17 + -18 = -35 -5w = -35 Divide each side by '-5'. w = 7 Simplifying w = 7
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