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Simplifying -8(n + -9) + -1(3 + 3n) = -12n Reorder the terms: -8(-9 + n) + -1(3 + 3n) = -12n (-9 * -8 + n * -8) + -1(3 + 3n) = -12n (72 + -8n) + -1(3 + 3n) = -12n 72 + -8n + (3 * -1 + 3n * -1) = -12n 72 + -8n + (-3 + -3n) = -12n Reorder the terms: 72 + -3 + -8n + -3n = -12n Combine like terms: 72 + -3 = 69 69 + -8n + -3n = -12n Combine like terms: -8n + -3n = -11n 69 + -11n = -12n Solving 69 + -11n = -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. 69 + -11n + 12n = -12n + 12n Combine like terms: -11n + 12n = 1n 69 + 1n = -12n + 12n Combine like terms: -12n + 12n = 0 69 + 1n = 0 Add '-69' to each side of the equation. 69 + -69 + 1n = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 1n = 0 + -69 1n = 0 + -69 Combine like terms: 0 + -69 = -69 1n = -69 Divide each side by '1'. n = -69 Simplifying n = -69
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