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Simplifying 5w + 2(w + 1) = 23 Reorder the terms: 5w + 2(1 + w) = 23 5w + (1 * 2 + w * 2) = 23 5w + (2 + 2w) = 23 Reorder the terms: 2 + 5w + 2w = 23 Combine like terms: 5w + 2w = 7w 2 + 7w = 23 Solving 2 + 7w = 23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7w = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 7w = 23 + -2 7w = 23 + -2 Combine like terms: 23 + -2 = 21 7w = 21 Divide each side by '7'. w = 3 Simplifying w = 3
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