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Simplifying -4(6n + -11) + 4 = -12(3n + 5) Reorder the terms: -4(-11 + 6n) + 4 = -12(3n + 5) (-11 * -4 + 6n * -4) + 4 = -12(3n + 5) (44 + -24n) + 4 = -12(3n + 5) Reorder the terms: 44 + 4 + -24n = -12(3n + 5) Combine like terms: 44 + 4 = 48 48 + -24n = -12(3n + 5) Reorder the terms: 48 + -24n = -12(5 + 3n) 48 + -24n = (5 * -12 + 3n * -12) 48 + -24n = (-60 + -36n) Solving 48 + -24n = -60 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. 48 + -24n + 36n = -60 + -36n + 36n Combine like terms: -24n + 36n = 12n 48 + 12n = -60 + -36n + 36n Combine like terms: -36n + 36n = 0 48 + 12n = -60 + 0 48 + 12n = -60 Add '-48' to each side of the equation. 48 + -48 + 12n = -60 + -48 Combine like terms: 48 + -48 = 0 0 + 12n = -60 + -48 12n = -60 + -48 Combine like terms: -60 + -48 = -108 12n = -108 Divide each side by '12'. n = -9 Simplifying n = -9
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