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Simplifying 3(-9 + -4n) + -4 = 8n + -9(n + 12) (-9 * 3 + -4n * 3) + -4 = 8n + -9(n + 12) (-27 + -12n) + -4 = 8n + -9(n + 12) Reorder the terms: -27 + -4 + -12n = 8n + -9(n + 12) Combine like terms: -27 + -4 = -31 -31 + -12n = 8n + -9(n + 12) Reorder the terms: -31 + -12n = 8n + -9(12 + n) -31 + -12n = 8n + (12 * -9 + n * -9) -31 + -12n = 8n + (-108 + -9n) Reorder the terms: -31 + -12n = -108 + 8n + -9n Combine like terms: 8n + -9n = -1n -31 + -12n = -108 + -1n Solving -31 + -12n = -108 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -31 + -12n + n = -108 + -1n + n Combine like terms: -12n + n = -11n -31 + -11n = -108 + -1n + n Combine like terms: -1n + n = 0 -31 + -11n = -108 + 0 -31 + -11n = -108 Add '31' to each side of the equation. -31 + 31 + -11n = -108 + 31 Combine like terms: -31 + 31 = 0 0 + -11n = -108 + 31 -11n = -108 + 31 Combine like terms: -108 + 31 = -77 -11n = -77 Divide each side by '-11'. n = 7 Simplifying n = 7
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