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Simplifying 4(w + 2) = 8w + 32 Reorder the terms: 4(2 + w) = 8w + 32 (2 * 4 + w * 4) = 8w + 32 (8 + 4w) = 8w + 32 Reorder the terms: 8 + 4w = 32 + 8w Solving 8 + 4w = 32 + 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. 8 + 4w + -8w = 32 + 8w + -8w Combine like terms: 4w + -8w = -4w 8 + -4w = 32 + 8w + -8w Combine like terms: 8w + -8w = 0 8 + -4w = 32 + 0 8 + -4w = 32 Add '-8' to each side of the equation. 8 + -8 + -4w = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -4w = 32 + -8 -4w = 32 + -8 Combine like terms: 32 + -8 = 24 -4w = 24 Divide each side by '-4'. w = -6 Simplifying w = -6
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