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Simplifying 3(2n + 4) = 6(9n + 8) + 1 Reorder the terms: 3(4 + 2n) = 6(9n + 8) + 1 (4 * 3 + 2n * 3) = 6(9n + 8) + 1 (12 + 6n) = 6(9n + 8) + 1 Reorder the terms: 12 + 6n = 6(8 + 9n) + 1 12 + 6n = (8 * 6 + 9n * 6) + 1 12 + 6n = (48 + 54n) + 1 Reorder the terms: 12 + 6n = 48 + 1 + 54n Combine like terms: 48 + 1 = 49 12 + 6n = 49 + 54n Solving 12 + 6n = 49 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 12 + 6n + -54n = 49 + 54n + -54n Combine like terms: 6n + -54n = -48n 12 + -48n = 49 + 54n + -54n Combine like terms: 54n + -54n = 0 12 + -48n = 49 + 0 12 + -48n = 49 Add '-12' to each side of the equation. 12 + -12 + -48n = 49 + -12 Combine like terms: 12 + -12 = 0 0 + -48n = 49 + -12 -48n = 49 + -12 Combine like terms: 49 + -12 = 37 -48n = 37 Divide each side by '-48'. n = -0.7708333333 Simplifying n = -0.7708333333
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