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Simplifying 0.05n + 20 = 0.1n + 10 Reorder the terms: 20 + 0.05n = 0.1n + 10 Reorder the terms: 20 + 0.05n = 10 + 0.1n Solving 20 + 0.05n = 10 + 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. 20 + 0.05n + -0.1n = 10 + 0.1n + -0.1n Combine like terms: 0.05n + -0.1n = -0.05n 20 + -0.05n = 10 + 0.1n + -0.1n Combine like terms: 0.1n + -0.1n = 0.0 20 + -0.05n = 10 + 0.0 20 + -0.05n = 10 Add '-20' to each side of the equation. 20 + -20 + -0.05n = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -0.05n = 10 + -20 -0.05n = 10 + -20 Combine like terms: 10 + -20 = -10 -0.05n = -10 Divide each side by '-0.05'. n = 200 Simplifying n = 200
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