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Simplifying 5(4n + 1) + 5n = 155 Reorder the terms: 5(1 + 4n) + 5n = 155 (1 * 5 + 4n * 5) + 5n = 155 (5 + 20n) + 5n = 155 Combine like terms: 20n + 5n = 25n 5 + 25n = 155 Solving 5 + 25n = 155 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 25n = 155 + -5 Combine like terms: 5 + -5 = 0 0 + 25n = 155 + -5 25n = 155 + -5 Combine like terms: 155 + -5 = 150 25n = 150 Divide each side by '25'. n = 6 Simplifying n = 6
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