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Simplifying 3(w + -2) + 7 = 2(w + 5) Reorder the terms: 3(-2 + w) + 7 = 2(w + 5) (-2 * 3 + w * 3) + 7 = 2(w + 5) (-6 + 3w) + 7 = 2(w + 5) Reorder the terms: -6 + 7 + 3w = 2(w + 5) Combine like terms: -6 + 7 = 1 1 + 3w = 2(w + 5) Reorder the terms: 1 + 3w = 2(5 + w) 1 + 3w = (5 * 2 + w * 2) 1 + 3w = (10 + 2w) Solving 1 + 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. 1 + 3w + -2w = 10 + 2w + -2w Combine like terms: 3w + -2w = 1w 1 + 1w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 1 + 1w = 10 + 0 1 + 1w = 10 Add '-1' to each side of the equation. 1 + -1 + 1w = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1w = 10 + -1 1w = 10 + -1 Combine like terms: 10 + -1 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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