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Simplifying 6(2n + 4) = 8(9n + 4) + 2 Reorder the terms: 6(4 + 2n) = 8(9n + 4) + 2 (4 * 6 + 2n * 6) = 8(9n + 4) + 2 (24 + 12n) = 8(9n + 4) + 2 Reorder the terms: 24 + 12n = 8(4 + 9n) + 2 24 + 12n = (4 * 8 + 9n * 8) + 2 24 + 12n = (32 + 72n) + 2 Reorder the terms: 24 + 12n = 32 + 2 + 72n Combine like terms: 32 + 2 = 34 24 + 12n = 34 + 72n Solving 24 + 12n = 34 + 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. 24 + 12n + -72n = 34 + 72n + -72n Combine like terms: 12n + -72n = -60n 24 + -60n = 34 + 72n + -72n Combine like terms: 72n + -72n = 0 24 + -60n = 34 + 0 24 + -60n = 34 Add '-24' to each side of the equation. 24 + -24 + -60n = 34 + -24 Combine like terms: 24 + -24 = 0 0 + -60n = 34 + -24 -60n = 34 + -24 Combine like terms: 34 + -24 = 10 -60n = 10 Divide each side by '-60'. n = -0.1666666667 Simplifying n = -0.1666666667
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