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Simplifying -1(1 + -8n) + -3(-2n + -9) = 10n + -9n (1 * -1 + -8n * -1) + -3(-2n + -9) = 10n + -9n (-1 + 8n) + -3(-2n + -9) = 10n + -9n Reorder the terms: -1 + 8n + -3(-9 + -2n) = 10n + -9n -1 + 8n + (-9 * -3 + -2n * -3) = 10n + -9n -1 + 8n + (27 + 6n) = 10n + -9n Reorder the terms: -1 + 27 + 8n + 6n = 10n + -9n Combine like terms: -1 + 27 = 26 26 + 8n + 6n = 10n + -9n Combine like terms: 8n + 6n = 14n 26 + 14n = 10n + -9n Combine like terms: 10n + -9n = 1n 26 + 14n = 1n Solving 26 + 14n = 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 26 + 14n + -1n = 1n + -1n Combine like terms: 14n + -1n = 13n 26 + 13n = 1n + -1n Combine like terms: 1n + -1n = 0 26 + 13n = 0 Add '-26' to each side of the equation. 26 + -26 + 13n = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 13n = 0 + -26 13n = 0 + -26 Combine like terms: 0 + -26 = -26 13n = -26 Divide each side by '13'. n = -2 Simplifying n = -2
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