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Simplifying 9(2n + 5) = 8(9n + 6) + 4 Reorder the terms: 9(5 + 2n) = 8(9n + 6) + 4 (5 * 9 + 2n * 9) = 8(9n + 6) + 4 (45 + 18n) = 8(9n + 6) + 4 Reorder the terms: 45 + 18n = 8(6 + 9n) + 4 45 + 18n = (6 * 8 + 9n * 8) + 4 45 + 18n = (48 + 72n) + 4 Reorder the terms: 45 + 18n = 48 + 4 + 72n Combine like terms: 48 + 4 = 52 45 + 18n = 52 + 72n Solving 45 + 18n = 52 + 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. 45 + 18n + -72n = 52 + 72n + -72n Combine like terms: 18n + -72n = -54n 45 + -54n = 52 + 72n + -72n Combine like terms: 72n + -72n = 0 45 + -54n = 52 + 0 45 + -54n = 52 Add '-45' to each side of the equation. 45 + -45 + -54n = 52 + -45 Combine like terms: 45 + -45 = 0 0 + -54n = 52 + -45 -54n = 52 + -45 Combine like terms: 52 + -45 = 7 -54n = 7 Divide each side by '-54'. n = -0.1296296296 Simplifying n = -0.1296296296
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