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Simplifying 9(3n + 2) = 8(9n + 5) + 8 Reorder the terms: 9(2 + 3n) = 8(9n + 5) + 8 (2 * 9 + 3n * 9) = 8(9n + 5) + 8 (18 + 27n) = 8(9n + 5) + 8 Reorder the terms: 18 + 27n = 8(5 + 9n) + 8 18 + 27n = (5 * 8 + 9n * 8) + 8 18 + 27n = (40 + 72n) + 8 Reorder the terms: 18 + 27n = 40 + 8 + 72n Combine like terms: 40 + 8 = 48 18 + 27n = 48 + 72n Solving 18 + 27n = 48 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 18 + 27n + -72n = 48 + 72n + -72n Combine like terms: 27n + -72n = -45n 18 + -45n = 48 + 72n + -72n Combine like terms: 72n + -72n = 0 18 + -45n = 48 + 0 18 + -45n = 48 Add '-18' to each side of the equation. 18 + -18 + -45n = 48 + -18 Combine like terms: 18 + -18 = 0 0 + -45n = 48 + -18 -45n = 48 + -18 Combine like terms: 48 + -18 = 30 -45n = 30 Divide each side by '-45'. n = -0.6666666667 Simplifying n = -0.6666666667
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