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Simplifying 8(2n + 4) = 6(9n + 7) + 1 Reorder the terms: 8(4 + 2n) = 6(9n + 7) + 1 (4 * 8 + 2n * 8) = 6(9n + 7) + 1 (32 + 16n) = 6(9n + 7) + 1 Reorder the terms: 32 + 16n = 6(7 + 9n) + 1 32 + 16n = (7 * 6 + 9n * 6) + 1 32 + 16n = (42 + 54n) + 1 Reorder the terms: 32 + 16n = 42 + 1 + 54n Combine like terms: 42 + 1 = 43 32 + 16n = 43 + 54n Solving 32 + 16n = 43 + 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 = 43 + 54n + -54n Combine like terms: 16n + -54n = -38n 32 + -38n = 43 + 54n + -54n Combine like terms: 54n + -54n = 0 32 + -38n = 43 + 0 32 + -38n = 43 Add '-32' to each side of the equation. 32 + -32 + -38n = 43 + -32 Combine like terms: 32 + -32 = 0 0 + -38n = 43 + -32 -38n = 43 + -32 Combine like terms: 43 + -32 = 11 -38n = 11 Divide each side by '-38'. n = -0.2894736842 Simplifying n = -0.2894736842
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