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Simplifying 8(3n + 2) = 8(7n + 9) + 9 Reorder the terms: 8(2 + 3n) = 8(7n + 9) + 9 (2 * 8 + 3n * 8) = 8(7n + 9) + 9 (16 + 24n) = 8(7n + 9) + 9 Reorder the terms: 16 + 24n = 8(9 + 7n) + 9 16 + 24n = (9 * 8 + 7n * 8) + 9 16 + 24n = (72 + 56n) + 9 Reorder the terms: 16 + 24n = 72 + 9 + 56n Combine like terms: 72 + 9 = 81 16 + 24n = 81 + 56n Solving 16 + 24n = 81 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 16 + 24n + -56n = 81 + 56n + -56n Combine like terms: 24n + -56n = -32n 16 + -32n = 81 + 56n + -56n Combine like terms: 56n + -56n = 0 16 + -32n = 81 + 0 16 + -32n = 81 Add '-16' to each side of the equation. 16 + -16 + -32n = 81 + -16 Combine like terms: 16 + -16 = 0 0 + -32n = 81 + -16 -32n = 81 + -16 Combine like terms: 81 + -16 = 65 -32n = 65 Divide each side by '-32'. n = -2.03125 Simplifying n = -2.03125
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