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Simplifying 3(2n + 1) = 8(7n + 2) + 3 Reorder the terms: 3(1 + 2n) = 8(7n + 2) + 3 (1 * 3 + 2n * 3) = 8(7n + 2) + 3 (3 + 6n) = 8(7n + 2) + 3 Reorder the terms: 3 + 6n = 8(2 + 7n) + 3 3 + 6n = (2 * 8 + 7n * 8) + 3 3 + 6n = (16 + 56n) + 3 Reorder the terms: 3 + 6n = 16 + 3 + 56n Combine like terms: 16 + 3 = 19 3 + 6n = 19 + 56n Solving 3 + 6n = 19 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 3 + 6n + -56n = 19 + 56n + -56n Combine like terms: 6n + -56n = -50n 3 + -50n = 19 + 56n + -56n Combine like terms: 56n + -56n = 0 3 + -50n = 19 + 0 3 + -50n = 19 Add '-3' to each side of the equation. 3 + -3 + -50n = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -50n = 19 + -3 -50n = 19 + -3 Combine like terms: 19 + -3 = 16 -50n = 16 Divide each side by '-50'. n = -0.32 Simplifying n = -0.32
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