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Simplifying -8n + 5(1 + 7n) = 5 + 7n -8n + (1 * 5 + 7n * 5) = 5 + 7n -8n + (5 + 35n) = 5 + 7n Reorder the terms: 5 + -8n + 35n = 5 + 7n Combine like terms: -8n + 35n = 27n 5 + 27n = 5 + 7n Add '-5' to each side of the equation. 5 + -5 + 27n = 5 + -5 + 7n Combine like terms: 5 + -5 = 0 0 + 27n = 5 + -5 + 7n 27n = 5 + -5 + 7n Combine like terms: 5 + -5 = 0 27n = 0 + 7n 27n = 7n Solving 27n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 27n + -7n = 7n + -7n Combine like terms: 27n + -7n = 20n 20n = 7n + -7n Combine like terms: 7n + -7n = 0 20n = 0 Divide each side by '20'. n = 0.0 Simplifying n = 0.0
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