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Simplifying 8(n + 10) + 2 = 30 + -5n Reorder the terms: 8(10 + n) + 2 = 30 + -5n (10 * 8 + n * 8) + 2 = 30 + -5n (80 + 8n) + 2 = 30 + -5n Reorder the terms: 80 + 2 + 8n = 30 + -5n Combine like terms: 80 + 2 = 82 82 + 8n = 30 + -5n Solving 82 + 8n = 30 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 82 + 8n + 5n = 30 + -5n + 5n Combine like terms: 8n + 5n = 13n 82 + 13n = 30 + -5n + 5n Combine like terms: -5n + 5n = 0 82 + 13n = 30 + 0 82 + 13n = 30 Add '-82' to each side of the equation. 82 + -82 + 13n = 30 + -82 Combine like terms: 82 + -82 = 0 0 + 13n = 30 + -82 13n = 30 + -82 Combine like terms: 30 + -82 = -52 13n = -52 Divide each side by '13'. n = -4 Simplifying n = -4
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