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Simplifying 5(3n + 2) = 7(8n + 1) + 6 Reorder the terms: 5(2 + 3n) = 7(8n + 1) + 6 (2 * 5 + 3n * 5) = 7(8n + 1) + 6 (10 + 15n) = 7(8n + 1) + 6 Reorder the terms: 10 + 15n = 7(1 + 8n) + 6 10 + 15n = (1 * 7 + 8n * 7) + 6 10 + 15n = (7 + 56n) + 6 Reorder the terms: 10 + 15n = 7 + 6 + 56n Combine like terms: 7 + 6 = 13 10 + 15n = 13 + 56n Solving 10 + 15n = 13 + 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. 10 + 15n + -56n = 13 + 56n + -56n Combine like terms: 15n + -56n = -41n 10 + -41n = 13 + 56n + -56n Combine like terms: 56n + -56n = 0 10 + -41n = 13 + 0 10 + -41n = 13 Add '-10' to each side of the equation. 10 + -10 + -41n = 13 + -10 Combine like terms: 10 + -10 = 0 0 + -41n = 13 + -10 -41n = 13 + -10 Combine like terms: 13 + -10 = 3 -41n = 3 Divide each side by '-41'. n = -0.07317073171 Simplifying n = -0.07317073171
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