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Simplifying 8(n + 4) + -1(5 + -5n) = 12n Reorder the terms: 8(4 + n) + -1(5 + -5n) = 12n (4 * 8 + n * 8) + -1(5 + -5n) = 12n (32 + 8n) + -1(5 + -5n) = 12n 32 + 8n + (5 * -1 + -5n * -1) = 12n 32 + 8n + (-5 + 5n) = 12n Reorder the terms: 32 + -5 + 8n + 5n = 12n Combine like terms: 32 + -5 = 27 27 + 8n + 5n = 12n Combine like terms: 8n + 5n = 13n 27 + 13n = 12n Solving 27 + 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. 27 + 13n + -12n = 12n + -12n Combine like terms: 13n + -12n = 1n 27 + 1n = 12n + -12n Combine like terms: 12n + -12n = 0 27 + 1n = 0 Add '-27' to each side of the equation. 27 + -27 + 1n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 1n = 0 + -27 1n = 0 + -27 Combine like terms: 0 + -27 = -27 1n = -27 Divide each side by '1'. n = -27 Simplifying n = -27
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