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Simplifying 5n + -8(1 + -8n) = 3n + -8 5n + (1 * -8 + -8n * -8) = 3n + -8 5n + (-8 + 64n) = 3n + -8 Reorder the terms: -8 + 5n + 64n = 3n + -8 Combine like terms: 5n + 64n = 69n -8 + 69n = 3n + -8 Reorder the terms: -8 + 69n = -8 + 3n Add '8' to each side of the equation. -8 + 8 + 69n = -8 + 8 + 3n Combine like terms: -8 + 8 = 0 0 + 69n = -8 + 8 + 3n 69n = -8 + 8 + 3n Combine like terms: -8 + 8 = 0 69n = 0 + 3n 69n = 3n Solving 69n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 69n + -3n = 3n + -3n Combine like terms: 69n + -3n = 66n 66n = 3n + -3n Combine like terms: 3n + -3n = 0 66n = 0 Divide each side by '66'. n = 0 Simplifying n = 0
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