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Simplifying 5(3n + 3) = 7(8n + 4) + 2 Reorder the terms: 5(3 + 3n) = 7(8n + 4) + 2 (3 * 5 + 3n * 5) = 7(8n + 4) + 2 (15 + 15n) = 7(8n + 4) + 2 Reorder the terms: 15 + 15n = 7(4 + 8n) + 2 15 + 15n = (4 * 7 + 8n * 7) + 2 15 + 15n = (28 + 56n) + 2 Reorder the terms: 15 + 15n = 28 + 2 + 56n Combine like terms: 28 + 2 = 30 15 + 15n = 30 + 56n Solving 15 + 15n = 30 + 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 = 30 + 56n + -56n Combine like terms: 15n + -56n = -41n 15 + -41n = 30 + 56n + -56n Combine like terms: 56n + -56n = 0 15 + -41n = 30 + 0 15 + -41n = 30 Add '-15' to each side of the equation. 15 + -15 + -41n = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -41n = 30 + -15 -41n = 30 + -15 Combine like terms: 30 + -15 = 15 -41n = 15 Divide each side by '-41'. n = -0.3658536585 Simplifying n = -0.3658536585
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