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Simplifying 9(2n + 3) = 9(7n + 8) + 8 Reorder the terms: 9(3 + 2n) = 9(7n + 8) + 8 (3 * 9 + 2n * 9) = 9(7n + 8) + 8 (27 + 18n) = 9(7n + 8) + 8 Reorder the terms: 27 + 18n = 9(8 + 7n) + 8 27 + 18n = (8 * 9 + 7n * 9) + 8 27 + 18n = (72 + 63n) + 8 Reorder the terms: 27 + 18n = 72 + 8 + 63n Combine like terms: 72 + 8 = 80 27 + 18n = 80 + 63n Solving 27 + 18n = 80 + 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. 27 + 18n + -63n = 80 + 63n + -63n Combine like terms: 18n + -63n = -45n 27 + -45n = 80 + 63n + -63n Combine like terms: 63n + -63n = 0 27 + -45n = 80 + 0 27 + -45n = 80 Add '-27' to each side of the equation. 27 + -27 + -45n = 80 + -27 Combine like terms: 27 + -27 = 0 0 + -45n = 80 + -27 -45n = 80 + -27 Combine like terms: 80 + -27 = 53 -45n = 53 Divide each side by '-45'. n = -1.177777778 Simplifying n = -1.177777778
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