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Simplifying -4(-6n + 9) = 12(6n + -11) Reorder the terms: -4(9 + -6n) = 12(6n + -11) (9 * -4 + -6n * -4) = 12(6n + -11) (-36 + 24n) = 12(6n + -11) Reorder the terms: -36 + 24n = 12(-11 + 6n) -36 + 24n = (-11 * 12 + 6n * 12) -36 + 24n = (-132 + 72n) Solving -36 + 24n = -132 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. -36 + 24n + -72n = -132 + 72n + -72n Combine like terms: 24n + -72n = -48n -36 + -48n = -132 + 72n + -72n Combine like terms: 72n + -72n = 0 -36 + -48n = -132 + 0 -36 + -48n = -132 Add '36' to each side of the equation. -36 + 36 + -48n = -132 + 36 Combine like terms: -36 + 36 = 0 0 + -48n = -132 + 36 -48n = -132 + 36 Combine like terms: -132 + 36 = -96 -48n = -96 Divide each side by '-48'. n = 2 Simplifying n = 2
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