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Simplifying 3(7w + 9) = 8w + 3 + 102 Reorder the terms: 3(9 + 7w) = 8w + 3 + 102 (9 * 3 + 7w * 3) = 8w + 3 + 102 (27 + 21w) = 8w + 3 + 102 Reorder the terms: 27 + 21w = 3 + 102 + 8w Combine like terms: 3 + 102 = 105 27 + 21w = 105 + 8w Solving 27 + 21w = 105 + 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. 27 + 21w + -8w = 105 + 8w + -8w Combine like terms: 21w + -8w = 13w 27 + 13w = 105 + 8w + -8w Combine like terms: 8w + -8w = 0 27 + 13w = 105 + 0 27 + 13w = 105 Add '-27' to each side of the equation. 27 + -27 + 13w = 105 + -27 Combine like terms: 27 + -27 = 0 0 + 13w = 105 + -27 13w = 105 + -27 Combine like terms: 105 + -27 = 78 13w = 78 Divide each side by '13'. w = 6 Simplifying w = 6
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