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Simplifying 6(1 + 5n) + 7n = -8n + 6 (1 * 6 + 5n * 6) + 7n = -8n + 6 (6 + 30n) + 7n = -8n + 6 Combine like terms: 30n + 7n = 37n 6 + 37n = -8n + 6 Reorder the terms: 6 + 37n = 6 + -8n Add '-6' to each side of the equation. 6 + -6 + 37n = 6 + -6 + -8n Combine like terms: 6 + -6 = 0 0 + 37n = 6 + -6 + -8n 37n = 6 + -6 + -8n Combine like terms: 6 + -6 = 0 37n = 0 + -8n 37n = -8n Solving 37n = -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. 37n + 8n = -8n + 8n Combine like terms: 37n + 8n = 45n 45n = -8n + 8n Combine like terms: -8n + 8n = 0 45n = 0 Divide each side by '45'. n = 0 Simplifying n = 0
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