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Simplifying 2(3n + 5) = 7(9n + 2) + 2 Reorder the terms: 2(5 + 3n) = 7(9n + 2) + 2 (5 * 2 + 3n * 2) = 7(9n + 2) + 2 (10 + 6n) = 7(9n + 2) + 2 Reorder the terms: 10 + 6n = 7(2 + 9n) + 2 10 + 6n = (2 * 7 + 9n * 7) + 2 10 + 6n = (14 + 63n) + 2 Reorder the terms: 10 + 6n = 14 + 2 + 63n Combine like terms: 14 + 2 = 16 10 + 6n = 16 + 63n Solving 10 + 6n = 16 + 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. 10 + 6n + -63n = 16 + 63n + -63n Combine like terms: 6n + -63n = -57n 10 + -57n = 16 + 63n + -63n Combine like terms: 63n + -63n = 0 10 + -57n = 16 + 0 10 + -57n = 16 Add '-10' to each side of the equation. 10 + -10 + -57n = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -57n = 16 + -10 -57n = 16 + -10 Combine like terms: 16 + -10 = 6 -57n = 6 Divide each side by '-57'. n = -0.1052631579 Simplifying n = -0.1052631579
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