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Simplifying -2w + 5(w + 2) = 37 Reorder the terms: -2w + 5(2 + w) = 37 -2w + (2 * 5 + w * 5) = 37 -2w + (10 + 5w) = 37 Reorder the terms: 10 + -2w + 5w = 37 Combine like terms: -2w + 5w = 3w 10 + 3w = 37 Solving 10 + 3w = 37 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3w = 37 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 37 + -10 3w = 37 + -10 Combine like terms: 37 + -10 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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