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Simplifying 3(3n + 3) = 9(6n + 2) + 3 Reorder the terms: 3(3 + 3n) = 9(6n + 2) + 3 (3 * 3 + 3n * 3) = 9(6n + 2) + 3 (9 + 9n) = 9(6n + 2) + 3 Reorder the terms: 9 + 9n = 9(2 + 6n) + 3 9 + 9n = (2 * 9 + 6n * 9) + 3 9 + 9n = (18 + 54n) + 3 Reorder the terms: 9 + 9n = 18 + 3 + 54n Combine like terms: 18 + 3 = 21 9 + 9n = 21 + 54n Solving 9 + 9n = 21 + 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 = 21 + 54n + -54n Combine like terms: 9n + -54n = -45n 9 + -45n = 21 + 54n + -54n Combine like terms: 54n + -54n = 0 9 + -45n = 21 + 0 9 + -45n = 21 Add '-9' to each side of the equation. 9 + -9 + -45n = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -45n = 21 + -9 -45n = 21 + -9 Combine like terms: 21 + -9 = 12 -45n = 12 Divide each side by '-45'. n = -0.2666666667 Simplifying n = -0.2666666667
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