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Simplifying 3(w + 7) = w + 15 Reorder the terms: 3(7 + w) = w + 15 (7 * 3 + w * 3) = w + 15 (21 + 3w) = w + 15 Reorder the terms: 21 + 3w = 15 + w Solving 21 + 3w = 15 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 21 + 3w + -1w = 15 + w + -1w Combine like terms: 3w + -1w = 2w 21 + 2w = 15 + w + -1w Combine like terms: w + -1w = 0 21 + 2w = 15 + 0 21 + 2w = 15 Add '-21' to each side of the equation. 21 + -21 + 2w = 15 + -21 Combine like terms: 21 + -21 = 0 0 + 2w = 15 + -21 2w = 15 + -21 Combine like terms: 15 + -21 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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