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Simplifying 2(3n + 5) = 9(6n + 7) + 3 Reorder the terms: 2(5 + 3n) = 9(6n + 7) + 3 (5 * 2 + 3n * 2) = 9(6n + 7) + 3 (10 + 6n) = 9(6n + 7) + 3 Reorder the terms: 10 + 6n = 9(7 + 6n) + 3 10 + 6n = (7 * 9 + 6n * 9) + 3 10 + 6n = (63 + 54n) + 3 Reorder the terms: 10 + 6n = 63 + 3 + 54n Combine like terms: 63 + 3 = 66 10 + 6n = 66 + 54n Solving 10 + 6n = 66 + 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. 10 + 6n + -54n = 66 + 54n + -54n Combine like terms: 6n + -54n = -48n 10 + -48n = 66 + 54n + -54n Combine like terms: 54n + -54n = 0 10 + -48n = 66 + 0 10 + -48n = 66 Add '-10' to each side of the equation. 10 + -10 + -48n = 66 + -10 Combine like terms: 10 + -10 = 0 0 + -48n = 66 + -10 -48n = 66 + -10 Combine like terms: 66 + -10 = 56 -48n = 56 Divide each side by '-48'. n = -1.166666667 Simplifying n = -1.166666667
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