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Simplifying 8(w + 8) = 5w + 34 Reorder the terms: 8(8 + w) = 5w + 34 (8 * 8 + w * 8) = 5w + 34 (64 + 8w) = 5w + 34 Reorder the terms: 64 + 8w = 34 + 5w Solving 64 + 8w = 34 + 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. 64 + 8w + -5w = 34 + 5w + -5w Combine like terms: 8w + -5w = 3w 64 + 3w = 34 + 5w + -5w Combine like terms: 5w + -5w = 0 64 + 3w = 34 + 0 64 + 3w = 34 Add '-64' to each side of the equation. 64 + -64 + 3w = 34 + -64 Combine like terms: 64 + -64 = 0 0 + 3w = 34 + -64 3w = 34 + -64 Combine like terms: 34 + -64 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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