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Simplifying 0.5n + 2.8 + -0.4n = 6.2 + -0.1 Reorder the terms: 2.8 + 0.5n + -0.4n = 6.2 + -0.1 Combine like terms: 0.5n + -0.4n = 0.1n 2.8 + 0.1n = 6.2 + -0.1 Combine like terms: 6.2 + -0.1 = 6.1 2.8 + 0.1n = 6.1 Solving 2.8 + 0.1n = 6.1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.8' to each side of the equation. 2.8 + -2.8 + 0.1n = 6.1 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 0.1n = 6.1 + -2.8 0.1n = 6.1 + -2.8 Combine like terms: 6.1 + -2.8 = 3.3 0.1n = 3.3 Divide each side by '0.1'. n = 33 Simplifying n = 33
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