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Simplifying 2(3n + 4) = 7(8n + 2) + 1 Reorder the terms: 2(4 + 3n) = 7(8n + 2) + 1 (4 * 2 + 3n * 2) = 7(8n + 2) + 1 (8 + 6n) = 7(8n + 2) + 1 Reorder the terms: 8 + 6n = 7(2 + 8n) + 1 8 + 6n = (2 * 7 + 8n * 7) + 1 8 + 6n = (14 + 56n) + 1 Reorder the terms: 8 + 6n = 14 + 1 + 56n Combine like terms: 14 + 1 = 15 8 + 6n = 15 + 56n Solving 8 + 6n = 15 + 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. 8 + 6n + -56n = 15 + 56n + -56n Combine like terms: 6n + -56n = -50n 8 + -50n = 15 + 56n + -56n Combine like terms: 56n + -56n = 0 8 + -50n = 15 + 0 8 + -50n = 15 Add '-8' to each side of the equation. 8 + -8 + -50n = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -50n = 15 + -8 -50n = 15 + -8 Combine like terms: 15 + -8 = 7 -50n = 7 Divide each side by '-50'. n = -0.14 Simplifying n = -0.14
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