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Simplifying 3(3n + 1) = 7(6n + 3) + 2 Reorder the terms: 3(1 + 3n) = 7(6n + 3) + 2 (1 * 3 + 3n * 3) = 7(6n + 3) + 2 (3 + 9n) = 7(6n + 3) + 2 Reorder the terms: 3 + 9n = 7(3 + 6n) + 2 3 + 9n = (3 * 7 + 6n * 7) + 2 3 + 9n = (21 + 42n) + 2 Reorder the terms: 3 + 9n = 21 + 2 + 42n Combine like terms: 21 + 2 = 23 3 + 9n = 23 + 42n Solving 3 + 9n = 23 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 3 + 9n + -42n = 23 + 42n + -42n Combine like terms: 9n + -42n = -33n 3 + -33n = 23 + 42n + -42n Combine like terms: 42n + -42n = 0 3 + -33n = 23 + 0 3 + -33n = 23 Add '-3' to each side of the equation. 3 + -3 + -33n = 23 + -3 Combine like terms: 3 + -3 = 0 0 + -33n = 23 + -3 -33n = 23 + -3 Combine like terms: 23 + -3 = 20 -33n = 20 Divide each side by '-33'. n = -0.6060606061 Simplifying n = -0.6060606061
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