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Simplifying -3(-12n + -8) + 12n = 9(6n + 10) Reorder the terms: -3(-8 + -12n) + 12n = 9(6n + 10) (-8 * -3 + -12n * -3) + 12n = 9(6n + 10) (24 + 36n) + 12n = 9(6n + 10) Combine like terms: 36n + 12n = 48n 24 + 48n = 9(6n + 10) Reorder the terms: 24 + 48n = 9(10 + 6n) 24 + 48n = (10 * 9 + 6n * 9) 24 + 48n = (90 + 54n) Solving 24 + 48n = 90 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 24 + 48n + -54n = 90 + 54n + -54n Combine like terms: 48n + -54n = -6n 24 + -6n = 90 + 54n + -54n Combine like terms: 54n + -54n = 0 24 + -6n = 90 + 0 24 + -6n = 90 Add '-24' to each side of the equation. 24 + -24 + -6n = 90 + -24 Combine like terms: 24 + -24 = 0 0 + -6n = 90 + -24 -6n = 90 + -24 Combine like terms: 90 + -24 = 66 -6n = 66 Divide each side by '-6'. n = -11 Simplifying n = -11
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