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Simplifying 3(2n + 3) = 7(9n + 1) + 5 Reorder the terms: 3(3 + 2n) = 7(9n + 1) + 5 (3 * 3 + 2n * 3) = 7(9n + 1) + 5 (9 + 6n) = 7(9n + 1) + 5 Reorder the terms: 9 + 6n = 7(1 + 9n) + 5 9 + 6n = (1 * 7 + 9n * 7) + 5 9 + 6n = (7 + 63n) + 5 Reorder the terms: 9 + 6n = 7 + 5 + 63n Combine like terms: 7 + 5 = 12 9 + 6n = 12 + 63n Solving 9 + 6n = 12 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 9 + 6n + -63n = 12 + 63n + -63n Combine like terms: 6n + -63n = -57n 9 + -57n = 12 + 63n + -63n Combine like terms: 63n + -63n = 0 9 + -57n = 12 + 0 9 + -57n = 12 Add '-9' to each side of the equation. 9 + -9 + -57n = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -57n = 12 + -9 -57n = 12 + -9 Combine like terms: 12 + -9 = 3 -57n = 3 Divide each side by '-57'. n = -0.05263157895 Simplifying n = -0.05263157895
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