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Simplifying 8n + 13 = 7.5n + 16 Reorder the terms: 13 + 8n = 7.5n + 16 Reorder the terms: 13 + 8n = 16 + 7.5n Solving 13 + 8n = 16 + 7.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7.5n' to each side of the equation. 13 + 8n + -7.5n = 16 + 7.5n + -7.5n Combine like terms: 8n + -7.5n = 0.5n 13 + 0.5n = 16 + 7.5n + -7.5n Combine like terms: 7.5n + -7.5n = 0.0 13 + 0.5n = 16 + 0.0 13 + 0.5n = 16 Add '-13' to each side of the equation. 13 + -13 + 0.5n = 16 + -13 Combine like terms: 13 + -13 = 0 0 + 0.5n = 16 + -13 0.5n = 16 + -13 Combine like terms: 16 + -13 = 3 0.5n = 3 Divide each side by '0.5'. n = 6 Simplifying n = 6
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