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Simplifying (w + -2) + w + (w + 3) = 40 Reorder the terms: (-2 + w) + w + (w + 3) = 40 Remove parenthesis around (-2 + w) -2 + w + w + (w + 3) = 40 Reorder the terms: -2 + w + w + (3 + w) = 40 Remove parenthesis around (3 + w) -2 + w + w + 3 + w = 40 Reorder the terms: -2 + 3 + w + w + w = 40 Combine like terms: -2 + 3 = 1 1 + w + w + w = 40 Combine like terms: w + w = 2w 1 + 2w + w = 40 Combine like terms: 2w + w = 3w 1 + 3w = 40 Solving 1 + 3w = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3w = 40 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = 40 + -1 3w = 40 + -1 Combine like terms: 40 + -1 = 39 3w = 39 Divide each side by '3'. w = 13 Simplifying w = 13
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