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Simplifying -4n + -12(n + 9) = 4(n + -9) + 8 Reorder the terms: -4n + -12(9 + n) = 4(n + -9) + 8 -4n + (9 * -12 + n * -12) = 4(n + -9) + 8 -4n + (-108 + -12n) = 4(n + -9) + 8 Reorder the terms: -108 + -4n + -12n = 4(n + -9) + 8 Combine like terms: -4n + -12n = -16n -108 + -16n = 4(n + -9) + 8 Reorder the terms: -108 + -16n = 4(-9 + n) + 8 -108 + -16n = (-9 * 4 + n * 4) + 8 -108 + -16n = (-36 + 4n) + 8 Reorder the terms: -108 + -16n = -36 + 8 + 4n Combine like terms: -36 + 8 = -28 -108 + -16n = -28 + 4n Solving -108 + -16n = -28 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -108 + -16n + -4n = -28 + 4n + -4n Combine like terms: -16n + -4n = -20n -108 + -20n = -28 + 4n + -4n Combine like terms: 4n + -4n = 0 -108 + -20n = -28 + 0 -108 + -20n = -28 Add '108' to each side of the equation. -108 + 108 + -20n = -28 + 108 Combine like terms: -108 + 108 = 0 0 + -20n = -28 + 108 -20n = -28 + 108 Combine like terms: -28 + 108 = 80 -20n = 80 Divide each side by '-20'. n = -4 Simplifying n = -4
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