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Simplifying 9(2n + 1) = 8(7n + 7) + 9 Reorder the terms: 9(1 + 2n) = 8(7n + 7) + 9 (1 * 9 + 2n * 9) = 8(7n + 7) + 9 (9 + 18n) = 8(7n + 7) + 9 Reorder the terms: 9 + 18n = 8(7 + 7n) + 9 9 + 18n = (7 * 8 + 7n * 8) + 9 9 + 18n = (56 + 56n) + 9 Reorder the terms: 9 + 18n = 56 + 9 + 56n Combine like terms: 56 + 9 = 65 9 + 18n = 65 + 56n Solving 9 + 18n = 65 + 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. 9 + 18n + -56n = 65 + 56n + -56n Combine like terms: 18n + -56n = -38n 9 + -38n = 65 + 56n + -56n Combine like terms: 56n + -56n = 0 9 + -38n = 65 + 0 9 + -38n = 65 Add '-9' to each side of the equation. 9 + -9 + -38n = 65 + -9 Combine like terms: 9 + -9 = 0 0 + -38n = 65 + -9 -38n = 65 + -9 Combine like terms: 65 + -9 = 56 -38n = 56 Divide each side by '-38'. n = -1.473684211 Simplifying n = -1.473684211
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