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Simplifying 1n + 4 = 8n + 1 Reorder the terms: 4 + 1n = 8n + 1 Reorder the terms: 4 + 1n = 1 + 8n Solving 4 + 1n = 1 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 4 + 1n + -8n = 1 + 8n + -8n Combine like terms: 1n + -8n = -7n 4 + -7n = 1 + 8n + -8n Combine like terms: 8n + -8n = 0 4 + -7n = 1 + 0 4 + -7n = 1 Add '-4' to each side of the equation. 4 + -4 + -7n = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -7n = 1 + -4 -7n = 1 + -4 Combine like terms: 1 + -4 = -3 -7n = -3 Divide each side by '-7'. n = 0.4285714286 Simplifying n = 0.4285714286
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