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Simplifying 5(1 + -12n) = 10n + -9(1 + 8n) (1 * 5 + -12n * 5) = 10n + -9(1 + 8n) (5 + -60n) = 10n + -9(1 + 8n) 5 + -60n = 10n + (1 * -9 + 8n * -9) 5 + -60n = 10n + (-9 + -72n) Reorder the terms: 5 + -60n = -9 + 10n + -72n Combine like terms: 10n + -72n = -62n 5 + -60n = -9 + -62n Solving 5 + -60n = -9 + -62n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '62n' to each side of the equation. 5 + -60n + 62n = -9 + -62n + 62n Combine like terms: -60n + 62n = 2n 5 + 2n = -9 + -62n + 62n Combine like terms: -62n + 62n = 0 5 + 2n = -9 + 0 5 + 2n = -9 Add '-5' to each side of the equation. 5 + -5 + 2n = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = -9 + -5 2n = -9 + -5 Combine like terms: -9 + -5 = -14 2n = -14 Divide each side by '2'. n = -7 Simplifying n = -7
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