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Simplifying 7 + 5n = 8n + 1 Reorder the terms: 7 + 5n = 1 + 8n Solving 7 + 5n = 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. 7 + 5n + -8n = 1 + 8n + -8n Combine like terms: 5n + -8n = -3n 7 + -3n = 1 + 8n + -8n Combine like terms: 8n + -8n = 0 7 + -3n = 1 + 0 7 + -3n = 1 Add '-7' to each side of the equation. 7 + -7 + -3n = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = 1 + -7 -3n = 1 + -7 Combine like terms: 1 + -7 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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