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Simplifying 5 + 2n = -8n + 5(1 + 8n) 5 + 2n = -8n + (1 * 5 + 8n * 5) 5 + 2n = -8n + (5 + 40n) Reorder the terms: 5 + 2n = 5 + -8n + 40n Combine like terms: -8n + 40n = 32n 5 + 2n = 5 + 32n Add '-5' to each side of the equation. 5 + -5 + 2n = 5 + -5 + 32n Combine like terms: 5 + -5 = 0 0 + 2n = 5 + -5 + 32n 2n = 5 + -5 + 32n Combine like terms: 5 + -5 = 0 2n = 0 + 32n 2n = 32n Solving 2n = 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 2n + -32n = 32n + -32n Combine like terms: 2n + -32n = -30n -30n = 32n + -32n Combine like terms: 32n + -32n = 0 -30n = 0 Divide each side by '-30'. n = 0.0 Simplifying n = 0.0
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