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Simplifying 8(3n + 1) = 7(9n + 4) + 2 Reorder the terms: 8(1 + 3n) = 7(9n + 4) + 2 (1 * 8 + 3n * 8) = 7(9n + 4) + 2 (8 + 24n) = 7(9n + 4) + 2 Reorder the terms: 8 + 24n = 7(4 + 9n) + 2 8 + 24n = (4 * 7 + 9n * 7) + 2 8 + 24n = (28 + 63n) + 2 Reorder the terms: 8 + 24n = 28 + 2 + 63n Combine like terms: 28 + 2 = 30 8 + 24n = 30 + 63n Solving 8 + 24n = 30 + 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. 8 + 24n + -63n = 30 + 63n + -63n Combine like terms: 24n + -63n = -39n 8 + -39n = 30 + 63n + -63n Combine like terms: 63n + -63n = 0 8 + -39n = 30 + 0 8 + -39n = 30 Add '-8' to each side of the equation. 8 + -8 + -39n = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -39n = 30 + -8 -39n = 30 + -8 Combine like terms: 30 + -8 = 22 -39n = 22 Divide each side by '-39'. n = -0.5641025641 Simplifying n = -0.5641025641
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