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Simplifying 8(2n + 4) = 7(9n + 2) + 6 Reorder the terms: 8(4 + 2n) = 7(9n + 2) + 6 (4 * 8 + 2n * 8) = 7(9n + 2) + 6 (32 + 16n) = 7(9n + 2) + 6 Reorder the terms: 32 + 16n = 7(2 + 9n) + 6 32 + 16n = (2 * 7 + 9n * 7) + 6 32 + 16n = (14 + 63n) + 6 Reorder the terms: 32 + 16n = 14 + 6 + 63n Combine like terms: 14 + 6 = 20 32 + 16n = 20 + 63n Solving 32 + 16n = 20 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 32 + 16n + -63n = 20 + 63n + -63n Combine like terms: 16n + -63n = -47n 32 + -47n = 20 + 63n + -63n Combine like terms: 63n + -63n = 0 32 + -47n = 20 + 0 32 + -47n = 20 Add '-32' to each side of the equation. 32 + -32 + -47n = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -47n = 20 + -32 -47n = 20 + -32 Combine like terms: 20 + -32 = -12 -47n = -12 Divide each side by '-47'. n = 0.2553191489 Simplifying n = 0.2553191489
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