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Simplifying 8(2n + 2) = 9(6n + 3) + 4 Reorder the terms: 8(2 + 2n) = 9(6n + 3) + 4 (2 * 8 + 2n * 8) = 9(6n + 3) + 4 (16 + 16n) = 9(6n + 3) + 4 Reorder the terms: 16 + 16n = 9(3 + 6n) + 4 16 + 16n = (3 * 9 + 6n * 9) + 4 16 + 16n = (27 + 54n) + 4 Reorder the terms: 16 + 16n = 27 + 4 + 54n Combine like terms: 27 + 4 = 31 16 + 16n = 31 + 54n Solving 16 + 16n = 31 + 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. 16 + 16n + -54n = 31 + 54n + -54n Combine like terms: 16n + -54n = -38n 16 + -38n = 31 + 54n + -54n Combine like terms: 54n + -54n = 0 16 + -38n = 31 + 0 16 + -38n = 31 Add '-16' to each side of the equation. 16 + -16 + -38n = 31 + -16 Combine like terms: 16 + -16 = 0 0 + -38n = 31 + -16 -38n = 31 + -16 Combine like terms: 31 + -16 = 15 -38n = 15 Divide each side by '-38'. n = -0.3947368421 Simplifying n = -0.3947368421
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