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Simplifying 3(n + -2) + 4(n + 3) + 2(n + 4) = 140 Reorder the terms: 3(-2 + n) + 4(n + 3) + 2(n + 4) = 140 (-2 * 3 + n * 3) + 4(n + 3) + 2(n + 4) = 140 (-6 + 3n) + 4(n + 3) + 2(n + 4) = 140 Reorder the terms: -6 + 3n + 4(3 + n) + 2(n + 4) = 140 -6 + 3n + (3 * 4 + n * 4) + 2(n + 4) = 140 -6 + 3n + (12 + 4n) + 2(n + 4) = 140 Reorder the terms: -6 + 3n + 12 + 4n + 2(4 + n) = 140 -6 + 3n + 12 + 4n + (4 * 2 + n * 2) = 140 -6 + 3n + 12 + 4n + (8 + 2n) = 140 Reorder the terms: -6 + 12 + 8 + 3n + 4n + 2n = 140 Combine like terms: -6 + 12 = 6 6 + 8 + 3n + 4n + 2n = 140 Combine like terms: 6 + 8 = 14 14 + 3n + 4n + 2n = 140 Combine like terms: 3n + 4n = 7n 14 + 7n + 2n = 140 Combine like terms: 7n + 2n = 9n 14 + 9n = 140 Solving 14 + 9n = 140 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 9n = 140 + -14 Combine like terms: 14 + -14 = 0 0 + 9n = 140 + -14 9n = 140 + -14 Combine like terms: 140 + -14 = 126 9n = 126 Divide each side by '9'. n = 14 Simplifying n = 14
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