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Simplifying 5 + 8n = 50 + 0.5n Solving 5 + 8n = 50 + 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. 5 + 8n + -0.5n = 50 + 0.5n + -0.5n Combine like terms: 8n + -0.5n = 7.5n 5 + 7.5n = 50 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 5 + 7.5n = 50 + 0.0 5 + 7.5n = 50 Add '-5' to each side of the equation. 5 + -5 + 7.5n = 50 + -5 Combine like terms: 5 + -5 = 0 0 + 7.5n = 50 + -5 7.5n = 50 + -5 Combine like terms: 50 + -5 = 45 7.5n = 45 Divide each side by '7.5'. n = 6 Simplifying n = 6
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