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Simplifying 8(w + 2) + -5w = 32 Reorder the terms: 8(2 + w) + -5w = 32 (2 * 8 + w * 8) + -5w = 32 (16 + 8w) + -5w = 32 Combine like terms: 8w + -5w = 3w 16 + 3w = 32 Solving 16 + 3w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3w = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 3w = 32 + -16 3w = 32 + -16 Combine like terms: 32 + -16 = 16 3w = 16 Divide each side by '3'. w = 5.333333333 Simplifying w = 5.333333333
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