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Simplifying 2w + 7(w + 4) = 37 Reorder the terms: 2w + 7(4 + w) = 37 2w + (4 * 7 + w * 7) = 37 2w + (28 + 7w) = 37 Reorder the terms: 28 + 2w + 7w = 37 Combine like terms: 2w + 7w = 9w 28 + 9w = 37 Solving 28 + 9w = 37 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 9w = 37 + -28 Combine like terms: 28 + -28 = 0 0 + 9w = 37 + -28 9w = 37 + -28 Combine like terms: 37 + -28 = 9 9w = 9 Divide each side by '9'. w = 1 Simplifying w = 1
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