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Simplifying 0.04n + -0.05(1n + 2) = 0.1 Reorder the terms: 0.04n + -0.05(2 + 1n) = 0.1 0.04n + (2 * -0.05 + 1n * -0.05) = 0.1 0.04n + (-0.1 + -0.05n) = 0.1 Reorder the terms: -0.1 + 0.04n + -0.05n = 0.1 Combine like terms: 0.04n + -0.05n = -0.01n -0.1 + -0.01n = 0.1 Solving -0.1 + -0.01n = 0.1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.1 + -0.01n = 0.1 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -0.01n = 0.1 + 0.1 -0.01n = 0.1 + 0.1 Combine like terms: 0.1 + 0.1 = 0.2 -0.01n = 0.2 Divide each side by '-0.01'. n = -20 Simplifying n = -20
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