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Simplifying 3(2n + 5) = 6(9n + 7) + 3 Reorder the terms: 3(5 + 2n) = 6(9n + 7) + 3 (5 * 3 + 2n * 3) = 6(9n + 7) + 3 (15 + 6n) = 6(9n + 7) + 3 Reorder the terms: 15 + 6n = 6(7 + 9n) + 3 15 + 6n = (7 * 6 + 9n * 6) + 3 15 + 6n = (42 + 54n) + 3 Reorder the terms: 15 + 6n = 42 + 3 + 54n Combine like terms: 42 + 3 = 45 15 + 6n = 45 + 54n Solving 15 + 6n = 45 + 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. 15 + 6n + -54n = 45 + 54n + -54n Combine like terms: 6n + -54n = -48n 15 + -48n = 45 + 54n + -54n Combine like terms: 54n + -54n = 0 15 + -48n = 45 + 0 15 + -48n = 45 Add '-15' to each side of the equation. 15 + -15 + -48n = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -48n = 45 + -15 -48n = 45 + -15 Combine like terms: 45 + -15 = 30 -48n = 30 Divide each side by '-48'. n = -0.625 Simplifying n = -0.625
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