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Simplifying 6(2n + 3) = 8(9n + 2) + 3 Reorder the terms: 6(3 + 2n) = 8(9n + 2) + 3 (3 * 6 + 2n * 6) = 8(9n + 2) + 3 (18 + 12n) = 8(9n + 2) + 3 Reorder the terms: 18 + 12n = 8(2 + 9n) + 3 18 + 12n = (2 * 8 + 9n * 8) + 3 18 + 12n = (16 + 72n) + 3 Reorder the terms: 18 + 12n = 16 + 3 + 72n Combine like terms: 16 + 3 = 19 18 + 12n = 19 + 72n Solving 18 + 12n = 19 + 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. 18 + 12n + -72n = 19 + 72n + -72n Combine like terms: 12n + -72n = -60n 18 + -60n = 19 + 72n + -72n Combine like terms: 72n + -72n = 0 18 + -60n = 19 + 0 18 + -60n = 19 Add '-18' to each side of the equation. 18 + -18 + -60n = 19 + -18 Combine like terms: 18 + -18 = 0 0 + -60n = 19 + -18 -60n = 19 + -18 Combine like terms: 19 + -18 = 1 -60n = 1 Divide each side by '-60'. n = -0.01666666667 Simplifying n = -0.01666666667
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