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Simplifying 32 = (2w + 2) + 2w Reorder the terms: 32 = (2 + 2w) + 2w Remove parenthesis around (2 + 2w) 32 = 2 + 2w + 2w Combine like terms: 2w + 2w = 4w 32 = 2 + 4w Solving 32 = 2 + 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 = 2 + 4w + -4w Combine like terms: 4w + -4w = 0 32 + -4w = 2 + 0 32 + -4w = 2 Add '-32' to each side of the equation. 32 + -32 + -4w = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -4w = 2 + -32 -4w = 2 + -32 Combine like terms: 2 + -32 = -30 -4w = -30 Divide each side by '-4'. w = 7.5 Simplifying w = 7.5
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