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Simplifying 3(1 + 5n) = -39 + 8n (1 * 3 + 5n * 3) = -39 + 8n (3 + 15n) = -39 + 8n Solving 3 + 15n = -39 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 3 + 15n + -8n = -39 + 8n + -8n Combine like terms: 15n + -8n = 7n 3 + 7n = -39 + 8n + -8n Combine like terms: 8n + -8n = 0 3 + 7n = -39 + 0 3 + 7n = -39 Add '-3' to each side of the equation. 3 + -3 + 7n = -39 + -3 Combine like terms: 3 + -3 = 0 0 + 7n = -39 + -3 7n = -39 + -3 Combine like terms: -39 + -3 = -42 7n = -42 Divide each side by '7'. n = -6 Simplifying n = -6
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