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Simplifying 5n + 8(n + 1) = 6n + 1 Reorder the terms: 5n + 8(1 + n) = 6n + 1 5n + (1 * 8 + n * 8) = 6n + 1 5n + (8 + 8n) = 6n + 1 Reorder the terms: 8 + 5n + 8n = 6n + 1 Combine like terms: 5n + 8n = 13n 8 + 13n = 6n + 1 Reorder the terms: 8 + 13n = 1 + 6n Solving 8 + 13n = 1 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 8 + 13n + -6n = 1 + 6n + -6n Combine like terms: 13n + -6n = 7n 8 + 7n = 1 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + 7n = 1 + 0 8 + 7n = 1 Add '-8' to each side of the equation. 8 + -8 + 7n = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 7n = 1 + -8 7n = 1 + -8 Combine like terms: 1 + -8 = -7 7n = -7 Divide each side by '7'. n = -1 Simplifying n = -1
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