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Simplifying 5(3n + 3) = 7(8n + 3) + 6 Reorder the terms: 5(3 + 3n) = 7(8n + 3) + 6 (3 * 5 + 3n * 5) = 7(8n + 3) + 6 (15 + 15n) = 7(8n + 3) + 6 Reorder the terms: 15 + 15n = 7(3 + 8n) + 6 15 + 15n = (3 * 7 + 8n * 7) + 6 15 + 15n = (21 + 56n) + 6 Reorder the terms: 15 + 15n = 21 + 6 + 56n Combine like terms: 21 + 6 = 27 15 + 15n = 27 + 56n Solving 15 + 15n = 27 + 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. 15 + 15n + -56n = 27 + 56n + -56n Combine like terms: 15n + -56n = -41n 15 + -41n = 27 + 56n + -56n Combine like terms: 56n + -56n = 0 15 + -41n = 27 + 0 15 + -41n = 27 Add '-15' to each side of the equation. 15 + -15 + -41n = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -41n = 27 + -15 -41n = 27 + -15 Combine like terms: 27 + -15 = 12 -41n = 12 Divide each side by '-41'. n = -0.2926829268 Simplifying n = -0.2926829268
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