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Simplifying 0.5n + 2.8 + -0.4n = 6.2 + -0.1n Reorder the terms: 2.8 + 0.5n + -0.4n = 6.2 + -0.1n Combine like terms: 0.5n + -0.4n = 0.1n 2.8 + 0.1n = 6.2 + -0.1n Solving 2.8 + 0.1n = 6.2 + -0.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.1n' to each side of the equation. 2.8 + 0.1n + 0.1n = 6.2 + -0.1n + 0.1n Combine like terms: 0.1n + 0.1n = 0.2n 2.8 + 0.2n = 6.2 + -0.1n + 0.1n Combine like terms: -0.1n + 0.1n = 0.0 2.8 + 0.2n = 6.2 + 0.0 2.8 + 0.2n = 6.2 Add '-2.8' to each side of the equation. 2.8 + -2.8 + 0.2n = 6.2 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 0.2n = 6.2 + -2.8 0.2n = 6.2 + -2.8 Combine like terms: 6.2 + -2.8 = 3.4 0.2n = 3.4 Divide each side by '0.2'. n = 17 Simplifying n = 17
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