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Simplifying 6(2n + 2 + 10n) + -1(2n + -7) + 5(4n + -11n + 5) = 149 Reorder the terms: 6(2 + 2n + 10n) + -1(2n + -7) + 5(4n + -11n + 5) = 149 Combine like terms: 2n + 10n = 12n 6(2 + 12n) + -1(2n + -7) + 5(4n + -11n + 5) = 149 (2 * 6 + 12n * 6) + -1(2n + -7) + 5(4n + -11n + 5) = 149 (12 + 72n) + -1(2n + -7) + 5(4n + -11n + 5) = 149 Reorder the terms: 12 + 72n + -1(-7 + 2n) + 5(4n + -11n + 5) = 149 12 + 72n + (-7 * -1 + 2n * -1) + 5(4n + -11n + 5) = 149 12 + 72n + (7 + -2n) + 5(4n + -11n + 5) = 149 Reorder the terms: 12 + 72n + 7 + -2n + 5(5 + 4n + -11n) = 149 Combine like terms: 4n + -11n = -7n 12 + 72n + 7 + -2n + 5(5 + -7n) = 149 12 + 72n + 7 + -2n + (5 * 5 + -7n * 5) = 149 12 + 72n + 7 + -2n + (25 + -35n) = 149 Reorder the terms: 12 + 7 + 25 + 72n + -2n + -35n = 149 Combine like terms: 12 + 7 = 19 19 + 25 + 72n + -2n + -35n = 149 Combine like terms: 19 + 25 = 44 44 + 72n + -2n + -35n = 149 Combine like terms: 72n + -2n = 70n 44 + 70n + -35n = 149 Combine like terms: 70n + -35n = 35n 44 + 35n = 149 Solving 44 + 35n = 149 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 35n = 149 + -44 Combine like terms: 44 + -44 = 0 0 + 35n = 149 + -44 35n = 149 + -44 Combine like terms: 149 + -44 = 105 35n = 105 Divide each side by '35'. n = 3 Simplifying n = 3
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