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Simplifying 7(3n + 4) = 9(7n + 2) + 2 Reorder the terms: 7(4 + 3n) = 9(7n + 2) + 2 (4 * 7 + 3n * 7) = 9(7n + 2) + 2 (28 + 21n) = 9(7n + 2) + 2 Reorder the terms: 28 + 21n = 9(2 + 7n) + 2 28 + 21n = (2 * 9 + 7n * 9) + 2 28 + 21n = (18 + 63n) + 2 Reorder the terms: 28 + 21n = 18 + 2 + 63n Combine like terms: 18 + 2 = 20 28 + 21n = 20 + 63n Solving 28 + 21n = 20 + 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. 28 + 21n + -63n = 20 + 63n + -63n Combine like terms: 21n + -63n = -42n 28 + -42n = 20 + 63n + -63n Combine like terms: 63n + -63n = 0 28 + -42n = 20 + 0 28 + -42n = 20 Add '-28' to each side of the equation. 28 + -28 + -42n = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -42n = 20 + -28 -42n = 20 + -28 Combine like terms: 20 + -28 = -8 -42n = -8 Divide each side by '-42'. n = 0.1904761905 Simplifying n = 0.1904761905
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