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Simplifying 8(2n + 4) = 9(6n + 6) + 8 Reorder the terms: 8(4 + 2n) = 9(6n + 6) + 8 (4 * 8 + 2n * 8) = 9(6n + 6) + 8 (32 + 16n) = 9(6n + 6) + 8 Reorder the terms: 32 + 16n = 9(6 + 6n) + 8 32 + 16n = (6 * 9 + 6n * 9) + 8 32 + 16n = (54 + 54n) + 8 Reorder the terms: 32 + 16n = 54 + 8 + 54n Combine like terms: 54 + 8 = 62 32 + 16n = 62 + 54n Solving 32 + 16n = 62 + 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. 32 + 16n + -54n = 62 + 54n + -54n Combine like terms: 16n + -54n = -38n 32 + -38n = 62 + 54n + -54n Combine like terms: 54n + -54n = 0 32 + -38n = 62 + 0 32 + -38n = 62 Add '-32' to each side of the equation. 32 + -32 + -38n = 62 + -32 Combine like terms: 32 + -32 = 0 0 + -38n = 62 + -32 -38n = 62 + -32 Combine like terms: 62 + -32 = 30 -38n = 30 Divide each side by '-38'. n = -0.7894736842 Simplifying n = -0.7894736842
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