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Simplifying 32 = 4w + 4(w + 4) Reorder the terms: 32 = 4w + 4(4 + w) 32 = 4w + (4 * 4 + w * 4) 32 = 4w + (16 + 4w) Reorder the terms: 32 = 16 + 4w + 4w Combine like terms: 4w + 4w = 8w 32 = 16 + 8w Solving 32 = 16 + 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. 32 + -8w = 16 + 8w + -8w Combine like terms: 8w + -8w = 0 32 + -8w = 16 + 0 32 + -8w = 16 Add '-32' to each side of the equation. 32 + -32 + -8w = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -8w = 16 + -32 -8w = 16 + -32 Combine like terms: 16 + -32 = -16 -8w = -16 Divide each side by '-8'. w = 2 Simplifying w = 2
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