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Simplifying 4n + 5 = 0.5n + -9 Reorder the terms: 5 + 4n = 0.5n + -9 Reorder the terms: 5 + 4n = -9 + 0.5n Solving 5 + 4n = -9 + 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 + 4n + -0.5n = -9 + 0.5n + -0.5n Combine like terms: 4n + -0.5n = 3.5n 5 + 3.5n = -9 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 5 + 3.5n = -9 + 0.0 5 + 3.5n = -9 Add '-5' to each side of the equation. 5 + -5 + 3.5n = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 3.5n = -9 + -5 3.5n = -9 + -5 Combine like terms: -9 + -5 = -14 3.5n = -14 Divide each side by '3.5'. n = -4 Simplifying n = -4
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