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Simplifying 5(n + 1) + -1(1 + -8n) = 12n Reorder the terms: 5(1 + n) + -1(1 + -8n) = 12n (1 * 5 + n * 5) + -1(1 + -8n) = 12n (5 + 5n) + -1(1 + -8n) = 12n 5 + 5n + (1 * -1 + -8n * -1) = 12n 5 + 5n + (-1 + 8n) = 12n Reorder the terms: 5 + -1 + 5n + 8n = 12n Combine like terms: 5 + -1 = 4 4 + 5n + 8n = 12n Combine like terms: 5n + 8n = 13n 4 + 13n = 12n Solving 4 + 13n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 4 + 13n + -12n = 12n + -12n Combine like terms: 13n + -12n = 1n 4 + 1n = 12n + -12n Combine like terms: 12n + -12n = 0 4 + 1n = 0 Add '-4' to each side of the equation. 4 + -4 + 1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = 0 + -4 1n = 0 + -4 Combine like terms: 0 + -4 = -4 1n = -4 Divide each side by '1'. n = -4 Simplifying n = -4
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