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Simplifying -4n + 8 = 9(6n + -12) Reorder the terms: 8 + -4n = 9(6n + -12) Reorder the terms: 8 + -4n = 9(-12 + 6n) 8 + -4n = (-12 * 9 + 6n * 9) 8 + -4n = (-108 + 54n) Solving 8 + -4n = -108 + 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. 8 + -4n + -54n = -108 + 54n + -54n Combine like terms: -4n + -54n = -58n 8 + -58n = -108 + 54n + -54n Combine like terms: 54n + -54n = 0 8 + -58n = -108 + 0 8 + -58n = -108 Add '-8' to each side of the equation. 8 + -8 + -58n = -108 + -8 Combine like terms: 8 + -8 = 0 0 + -58n = -108 + -8 -58n = -108 + -8 Combine like terms: -108 + -8 = -116 -58n = -116 Divide each side by '-58'. n = 2 Simplifying n = 2
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