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Simplifying -6(3n + -4) = 12n + 4(3n + 2) Reorder the terms: -6(-4 + 3n) = 12n + 4(3n + 2) (-4 * -6 + 3n * -6) = 12n + 4(3n + 2) (24 + -18n) = 12n + 4(3n + 2) Reorder the terms: 24 + -18n = 12n + 4(2 + 3n) 24 + -18n = 12n + (2 * 4 + 3n * 4) 24 + -18n = 12n + (8 + 12n) Reorder the terms: 24 + -18n = 8 + 12n + 12n Combine like terms: 12n + 12n = 24n 24 + -18n = 8 + 24n Solving 24 + -18n = 8 + 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. 24 + -18n + -24n = 8 + 24n + -24n Combine like terms: -18n + -24n = -42n 24 + -42n = 8 + 24n + -24n Combine like terms: 24n + -24n = 0 24 + -42n = 8 + 0 24 + -42n = 8 Add '-24' to each side of the equation. 24 + -24 + -42n = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -42n = 8 + -24 -42n = 8 + -24 Combine like terms: 8 + -24 = -16 -42n = -16 Divide each side by '-42'. n = 0.380952381 Simplifying n = 0.380952381
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