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Simplifying 12(8n + 4) = -6(6n + 78) Reorder the terms: 12(4 + 8n) = -6(6n + 78) (4 * 12 + 8n * 12) = -6(6n + 78) (48 + 96n) = -6(6n + 78) Reorder the terms: 48 + 96n = -6(78 + 6n) 48 + 96n = (78 * -6 + 6n * -6) 48 + 96n = (-468 + -36n) Solving 48 + 96n = -468 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. 48 + 96n + 36n = -468 + -36n + 36n Combine like terms: 96n + 36n = 132n 48 + 132n = -468 + -36n + 36n Combine like terms: -36n + 36n = 0 48 + 132n = -468 + 0 48 + 132n = -468 Add '-48' to each side of the equation. 48 + -48 + 132n = -468 + -48 Combine like terms: 48 + -48 = 0 0 + 132n = -468 + -48 132n = -468 + -48 Combine like terms: -468 + -48 = -516 132n = -516 Divide each side by '132'. n = -3.909090909 Simplifying n = -3.909090909
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