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Simplifying 8n + 5(1 + 5n) = 5 + -6n 8n + (1 * 5 + 5n * 5) = 5 + -6n 8n + (5 + 25n) = 5 + -6n Reorder the terms: 5 + 8n + 25n = 5 + -6n Combine like terms: 8n + 25n = 33n 5 + 33n = 5 + -6n Add '-5' to each side of the equation. 5 + -5 + 33n = 5 + -5 + -6n Combine like terms: 5 + -5 = 0 0 + 33n = 5 + -5 + -6n 33n = 5 + -5 + -6n Combine like terms: 5 + -5 = 0 33n = 0 + -6n 33n = -6n Solving 33n = -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. 33n + 6n = -6n + 6n Combine like terms: 33n + 6n = 39n 39n = -6n + 6n Combine like terms: -6n + 6n = 0 39n = 0 Divide each side by '39'. n = 0 Simplifying n = 0
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