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Simplifying 9(2n + 1) = 7(9n + 8) + 8 Reorder the terms: 9(1 + 2n) = 7(9n + 8) + 8 (1 * 9 + 2n * 9) = 7(9n + 8) + 8 (9 + 18n) = 7(9n + 8) + 8 Reorder the terms: 9 + 18n = 7(8 + 9n) + 8 9 + 18n = (8 * 7 + 9n * 7) + 8 9 + 18n = (56 + 63n) + 8 Reorder the terms: 9 + 18n = 56 + 8 + 63n Combine like terms: 56 + 8 = 64 9 + 18n = 64 + 63n Solving 9 + 18n = 64 + 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. 9 + 18n + -63n = 64 + 63n + -63n Combine like terms: 18n + -63n = -45n 9 + -45n = 64 + 63n + -63n Combine like terms: 63n + -63n = 0 9 + -45n = 64 + 0 9 + -45n = 64 Add '-9' to each side of the equation. 9 + -9 + -45n = 64 + -9 Combine like terms: 9 + -9 = 0 0 + -45n = 64 + -9 -45n = 64 + -9 Combine like terms: 64 + -9 = 55 -45n = 55 Divide each side by '-45'. n = -1.222222222 Simplifying n = -1.222222222
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