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Simplifying 3(2n + 3) = 7(9n + 4) + 4 Reorder the terms: 3(3 + 2n) = 7(9n + 4) + 4 (3 * 3 + 2n * 3) = 7(9n + 4) + 4 (9 + 6n) = 7(9n + 4) + 4 Reorder the terms: 9 + 6n = 7(4 + 9n) + 4 9 + 6n = (4 * 7 + 9n * 7) + 4 9 + 6n = (28 + 63n) + 4 Reorder the terms: 9 + 6n = 28 + 4 + 63n Combine like terms: 28 + 4 = 32 9 + 6n = 32 + 63n Solving 9 + 6n = 32 + 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 = 32 + 63n + -63n Combine like terms: 6n + -63n = -57n 9 + -57n = 32 + 63n + -63n Combine like terms: 63n + -63n = 0 9 + -57n = 32 + 0 9 + -57n = 32 Add '-9' to each side of the equation. 9 + -9 + -57n = 32 + -9 Combine like terms: 9 + -9 = 0 0 + -57n = 32 + -9 -57n = 32 + -9 Combine like terms: 32 + -9 = 23 -57n = 23 Divide each side by '-57'. n = -0.4035087719 Simplifying n = -0.4035087719
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