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Simplifying (2 + -1w) + (3 + -2w) = 32 Remove parenthesis around (2 + -1w) 2 + -1w + (3 + -2w) = 32 Remove parenthesis around (3 + -2w) 2 + -1w + 3 + -2w = 32 Reorder the terms: 2 + 3 + -1w + -2w = 32 Combine like terms: 2 + 3 = 5 5 + -1w + -2w = 32 Combine like terms: -1w + -2w = -3w 5 + -3w = 32 Solving 5 + -3w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3w = 32 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = 32 + -5 -3w = 32 + -5 Combine like terms: 32 + -5 = 27 -3w = 27 Divide each side by '-3'. w = -9 Simplifying w = -9
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