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Simplifying 8(w + 2) = 5w + -11 Reorder the terms: 8(2 + w) = 5w + -11 (2 * 8 + w * 8) = 5w + -11 (16 + 8w) = 5w + -11 Reorder the terms: 16 + 8w = -11 + 5w Solving 16 + 8w = -11 + 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. 16 + 8w + -5w = -11 + 5w + -5w Combine like terms: 8w + -5w = 3w 16 + 3w = -11 + 5w + -5w Combine like terms: 5w + -5w = 0 16 + 3w = -11 + 0 16 + 3w = -11 Add '-16' to each side of the equation. 16 + -16 + 3w = -11 + -16 Combine like terms: 16 + -16 = 0 0 + 3w = -11 + -16 3w = -11 + -16 Combine like terms: -11 + -16 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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