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Simplifying 6(-4n + 3) = 2(-9 + 12n) Reorder the terms: 6(3 + -4n) = 2(-9 + 12n) (3 * 6 + -4n * 6) = 2(-9 + 12n) (18 + -24n) = 2(-9 + 12n) 18 + -24n = (-9 * 2 + 12n * 2) 18 + -24n = (-18 + 24n) Solving 18 + -24n = -18 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 18 + -24n + -24n = -18 + 24n + -24n Combine like terms: -24n + -24n = -48n 18 + -48n = -18 + 24n + -24n Combine like terms: 24n + -24n = 0 18 + -48n = -18 + 0 18 + -48n = -18 Add '-18' to each side of the equation. 18 + -18 + -48n = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -48n = -18 + -18 -48n = -18 + -18 Combine like terms: -18 + -18 = -36 -48n = -36 Divide each side by '-48'. n = 0.75 Simplifying n = 0.75
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