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Simplifying 8(3n + 2) = 9(7n + 4) + 1 Reorder the terms: 8(2 + 3n) = 9(7n + 4) + 1 (2 * 8 + 3n * 8) = 9(7n + 4) + 1 (16 + 24n) = 9(7n + 4) + 1 Reorder the terms: 16 + 24n = 9(4 + 7n) + 1 16 + 24n = (4 * 9 + 7n * 9) + 1 16 + 24n = (36 + 63n) + 1 Reorder the terms: 16 + 24n = 36 + 1 + 63n Combine like terms: 36 + 1 = 37 16 + 24n = 37 + 63n Solving 16 + 24n = 37 + 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. 16 + 24n + -63n = 37 + 63n + -63n Combine like terms: 24n + -63n = -39n 16 + -39n = 37 + 63n + -63n Combine like terms: 63n + -63n = 0 16 + -39n = 37 + 0 16 + -39n = 37 Add '-16' to each side of the equation. 16 + -16 + -39n = 37 + -16 Combine like terms: 16 + -16 = 0 0 + -39n = 37 + -16 -39n = 37 + -16 Combine like terms: 37 + -16 = 21 -39n = 21 Divide each side by '-39'. n = -0.5384615385 Simplifying n = -0.5384615385
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