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Simplifying -12(4n + -10) + 9 = 9(1 + -12n) Reorder the terms: -12(-10 + 4n) + 9 = 9(1 + -12n) (-10 * -12 + 4n * -12) + 9 = 9(1 + -12n) (120 + -48n) + 9 = 9(1 + -12n) Reorder the terms: 120 + 9 + -48n = 9(1 + -12n) Combine like terms: 120 + 9 = 129 129 + -48n = 9(1 + -12n) 129 + -48n = (1 * 9 + -12n * 9) 129 + -48n = (9 + -108n) Solving 129 + -48n = 9 + -108n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '108n' to each side of the equation. 129 + -48n + 108n = 9 + -108n + 108n Combine like terms: -48n + 108n = 60n 129 + 60n = 9 + -108n + 108n Combine like terms: -108n + 108n = 0 129 + 60n = 9 + 0 129 + 60n = 9 Add '-129' to each side of the equation. 129 + -129 + 60n = 9 + -129 Combine like terms: 129 + -129 = 0 0 + 60n = 9 + -129 60n = 9 + -129 Combine like terms: 9 + -129 = -120 60n = -120 Divide each side by '60'. n = -2 Simplifying n = -2
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