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Simplifying 3(w + 1) = 2(w + 5) Reorder the terms: 3(1 + w) = 2(w + 5) (1 * 3 + w * 3) = 2(w + 5) (3 + 3w) = 2(w + 5) Reorder the terms: 3 + 3w = 2(5 + w) 3 + 3w = (5 * 2 + w * 2) 3 + 3w = (10 + 2w) Solving 3 + 3w = 10 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 3 + 3w + -2w = 10 + 2w + -2w Combine like terms: 3w + -2w = 1w 3 + 1w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + 1w = 10 + 0 3 + 1w = 10 Add '-3' to each side of the equation. 3 + -3 + 1w = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 1w = 10 + -3 1w = 10 + -3 Combine like terms: 10 + -3 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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