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Simplifying 3(3n + 3) = 9(6n + 5) + 8 Reorder the terms: 3(3 + 3n) = 9(6n + 5) + 8 (3 * 3 + 3n * 3) = 9(6n + 5) + 8 (9 + 9n) = 9(6n + 5) + 8 Reorder the terms: 9 + 9n = 9(5 + 6n) + 8 9 + 9n = (5 * 9 + 6n * 9) + 8 9 + 9n = (45 + 54n) + 8 Reorder the terms: 9 + 9n = 45 + 8 + 54n Combine like terms: 45 + 8 = 53 9 + 9n = 53 + 54n Solving 9 + 9n = 53 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 9 + 9n + -54n = 53 + 54n + -54n Combine like terms: 9n + -54n = -45n 9 + -45n = 53 + 54n + -54n Combine like terms: 54n + -54n = 0 9 + -45n = 53 + 0 9 + -45n = 53 Add '-9' to each side of the equation. 9 + -9 + -45n = 53 + -9 Combine like terms: 9 + -9 = 0 0 + -45n = 53 + -9 -45n = 53 + -9 Combine like terms: 53 + -9 = 44 -45n = 44 Divide each side by '-45'. n = -0.9777777778 Simplifying n = -0.9777777778
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