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Simplifying 8(1 + 5n) + 5 = 13 + 5n (1 * 8 + 5n * 8) + 5 = 13 + 5n (8 + 40n) + 5 = 13 + 5n Reorder the terms: 8 + 5 + 40n = 13 + 5n Combine like terms: 8 + 5 = 13 13 + 40n = 13 + 5n Add '-13' to each side of the equation. 13 + -13 + 40n = 13 + -13 + 5n Combine like terms: 13 + -13 = 0 0 + 40n = 13 + -13 + 5n 40n = 13 + -13 + 5n Combine like terms: 13 + -13 = 0 40n = 0 + 5n 40n = 5n Solving 40n = 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. 40n + -5n = 5n + -5n Combine like terms: 40n + -5n = 35n 35n = 5n + -5n Combine like terms: 5n + -5n = 0 35n = 0 Divide each side by '35'. n = 0 Simplifying n = 0
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