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Simplifying 5n + 6(5 + 8n) = 30 + -5n 5n + (5 * 6 + 8n * 6) = 30 + -5n 5n + (30 + 48n) = 30 + -5n Reorder the terms: 30 + 5n + 48n = 30 + -5n Combine like terms: 5n + 48n = 53n 30 + 53n = 30 + -5n Add '-30' to each side of the equation. 30 + -30 + 53n = 30 + -30 + -5n Combine like terms: 30 + -30 = 0 0 + 53n = 30 + -30 + -5n 53n = 30 + -30 + -5n Combine like terms: 30 + -30 = 0 53n = 0 + -5n 53n = -5n Solving 53n = -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. 53n + 5n = -5n + 5n Combine like terms: 53n + 5n = 58n 58n = -5n + 5n Combine like terms: -5n + 5n = 0 58n = 0 Divide each side by '58'. n = 0 Simplifying n = 0
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