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Simplifying 8(w + -1) = 5w + -17 Reorder the terms: 8(-1 + w) = 5w + -17 (-1 * 8 + w * 8) = 5w + -17 (-8 + 8w) = 5w + -17 Reorder the terms: -8 + 8w = -17 + 5w Solving -8 + 8w = -17 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -8 + 8w + -5w = -17 + 5w + -5w Combine like terms: 8w + -5w = 3w -8 + 3w = -17 + 5w + -5w Combine like terms: 5w + -5w = 0 -8 + 3w = -17 + 0 -8 + 3w = -17 Add '8' to each side of the equation. -8 + 8 + 3w = -17 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = -17 + 8 3w = -17 + 8 Combine like terms: -17 + 8 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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