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Simplifying 2(w + 2) + (w + 3) = 24 Reorder the terms: 2(2 + w) + (w + 3) = 24 (2 * 2 + w * 2) + (w + 3) = 24 (4 + 2w) + (w + 3) = 24 Reorder the terms: 4 + 2w + (3 + w) = 24 Remove parenthesis around (3 + w) 4 + 2w + 3 + w = 24 Reorder the terms: 4 + 3 + 2w + w = 24 Combine like terms: 4 + 3 = 7 7 + 2w + w = 24 Combine like terms: 2w + w = 3w 7 + 3w = 24 Solving 7 + 3w = 24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3w = 24 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = 24 + -7 3w = 24 + -7 Combine like terms: 24 + -7 = 17 3w = 17 Divide each side by '3'. w = 5.666666667 Simplifying w = 5.666666667
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