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Simplifying 3(3w + 7) = 8(w + 3) Reorder the terms: 3(7 + 3w) = 8(w + 3) (7 * 3 + 3w * 3) = 8(w + 3) (21 + 9w) = 8(w + 3) Reorder the terms: 21 + 9w = 8(3 + w) 21 + 9w = (3 * 8 + w * 8) 21 + 9w = (24 + 8w) Solving 21 + 9w = 24 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 21 + 9w + -8w = 24 + 8w + -8w Combine like terms: 9w + -8w = 1w 21 + 1w = 24 + 8w + -8w Combine like terms: 8w + -8w = 0 21 + 1w = 24 + 0 21 + 1w = 24 Add '-21' to each side of the equation. 21 + -21 + 1w = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 1w = 24 + -21 1w = 24 + -21 Combine like terms: 24 + -21 = 3 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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