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Simplifying 2w + 3(w + 2) + 2(w + 5) = 44 Reorder the terms: 2w + 3(2 + w) + 2(w + 5) = 44 2w + (2 * 3 + w * 3) + 2(w + 5) = 44 2w + (6 + 3w) + 2(w + 5) = 44 Reorder the terms: 2w + 6 + 3w + 2(5 + w) = 44 2w + 6 + 3w + (5 * 2 + w * 2) = 44 2w + 6 + 3w + (10 + 2w) = 44 Reorder the terms: 6 + 10 + 2w + 3w + 2w = 44 Combine like terms: 6 + 10 = 16 16 + 2w + 3w + 2w = 44 Combine like terms: 2w + 3w = 5w 16 + 5w + 2w = 44 Combine like terms: 5w + 2w = 7w 16 + 7w = 44 Solving 16 + 7w = 44 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7w = 44 + -16 Combine like terms: 16 + -16 = 0 0 + 7w = 44 + -16 7w = 44 + -16 Combine like terms: 44 + -16 = 28 7w = 28 Divide each side by '7'. w = 4 Simplifying w = 4
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