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Simplifying 2(3n + 5) = 6(9n + 7) + 3 Reorder the terms: 2(5 + 3n) = 6(9n + 7) + 3 (5 * 2 + 3n * 2) = 6(9n + 7) + 3 (10 + 6n) = 6(9n + 7) + 3 Reorder the terms: 10 + 6n = 6(7 + 9n) + 3 10 + 6n = (7 * 6 + 9n * 6) + 3 10 + 6n = (42 + 54n) + 3 Reorder the terms: 10 + 6n = 42 + 3 + 54n Combine like terms: 42 + 3 = 45 10 + 6n = 45 + 54n Solving 10 + 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. 10 + 6n + -54n = 45 + 54n + -54n Combine like terms: 6n + -54n = -48n 10 + -48n = 45 + 54n + -54n Combine like terms: 54n + -54n = 0 10 + -48n = 45 + 0 10 + -48n = 45 Add '-10' to each side of the equation. 10 + -10 + -48n = 45 + -10 Combine like terms: 10 + -10 = 0 0 + -48n = 45 + -10 -48n = 45 + -10 Combine like terms: 45 + -10 = 35 -48n = 35 Divide each side by '-48'. n = -0.7291666667 Simplifying n = -0.7291666667
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