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Simplifying 0.4n + 0.1 = 0.5n + 2 Reorder the terms: 0.1 + 0.4n = 0.5n + 2 Reorder the terms: 0.1 + 0.4n = 2 + 0.5n Solving 0.1 + 0.4n = 2 + 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. 0.1 + 0.4n + -0.5n = 2 + 0.5n + -0.5n Combine like terms: 0.4n + -0.5n = -0.1n 0.1 + -0.1n = 2 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 0.1 + -0.1n = 2 + 0.0 0.1 + -0.1n = 2 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.1n = 2 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.1n = 2 + -0.1 -0.1n = 2 + -0.1 Combine like terms: 2 + -0.1 = 1.9 -0.1n = 1.9 Divide each side by '-0.1'. n = -19 Simplifying n = -19
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