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Simplifying 3n + 5 = 0.5n Reorder the terms: 5 + 3n = 0.5n Solving 5 + 3n = 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 + 3n + -0.5n = 0.5n + -0.5n Combine like terms: 3n + -0.5n = 2.5n 5 + 2.5n = 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 5 + 2.5n = 0.0 Add '-5' to each side of the equation. 5 + -5 + 2.5n = 0.0 + -5 Combine like terms: 5 + -5 = 0 0 + 2.5n = 0.0 + -5 2.5n = 0.0 + -5 Combine like terms: 0.0 + -5 = -5 2.5n = -5 Divide each side by '2.5'. n = -2 Simplifying n = -2
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