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Simplifying 9(2n + 7) = 12 + -1(5n + -9) + 16n Reorder the terms: 9(7 + 2n) = 12 + -1(5n + -9) + 16n (7 * 9 + 2n * 9) = 12 + -1(5n + -9) + 16n (63 + 18n) = 12 + -1(5n + -9) + 16n Reorder the terms: 63 + 18n = 12 + -1(-9 + 5n) + 16n 63 + 18n = 12 + (-9 * -1 + 5n * -1) + 16n 63 + 18n = 12 + (9 + -5n) + 16n Combine like terms: 12 + 9 = 21 63 + 18n = 21 + -5n + 16n Combine like terms: -5n + 16n = 11n 63 + 18n = 21 + 11n Solving 63 + 18n = 21 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 63 + 18n + -11n = 21 + 11n + -11n Combine like terms: 18n + -11n = 7n 63 + 7n = 21 + 11n + -11n Combine like terms: 11n + -11n = 0 63 + 7n = 21 + 0 63 + 7n = 21 Add '-63' to each side of the equation. 63 + -63 + 7n = 21 + -63 Combine like terms: 63 + -63 = 0 0 + 7n = 21 + -63 7n = 21 + -63 Combine like terms: 21 + -63 = -42 7n = -42 Divide each side by '7'. n = -6 Simplifying n = -6
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