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Simplifying 32 = 2(w + 12) + 2w Reorder the terms: 32 = 2(12 + w) + 2w 32 = (12 * 2 + w * 2) + 2w 32 = (24 + 2w) + 2w Combine like terms: 2w + 2w = 4w 32 = 24 + 4w Solving 32 = 24 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 32 + -4w = 24 + 4w + -4w Combine like terms: 4w + -4w = 0 32 + -4w = 24 + 0 32 + -4w = 24 Add '-32' to each side of the equation. 32 + -32 + -4w = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -4w = 24 + -32 -4w = 24 + -32 Combine like terms: 24 + -32 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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