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Simplifying 3.8 = 0.05(8n + -4.6) Reorder the terms: 3.8 = 0.05(-4.6 + 8n) 3.8 = (-4.6 * 0.05 + 8n * 0.05) 3.8 = (-0.23 + 0.4n) Solving 3.8 = -0.23 + 0.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.4n' to each side of the equation. 3.8 + -0.4n = -0.23 + 0.4n + -0.4n Combine like terms: 0.4n + -0.4n = 0.0 3.8 + -0.4n = -0.23 + 0.0 3.8 + -0.4n = -0.23 Add '-3.8' to each side of the equation. 3.8 + -3.8 + -0.4n = -0.23 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + -0.4n = -0.23 + -3.8 -0.4n = -0.23 + -3.8 Combine like terms: -0.23 + -3.8 = -4.03 -0.4n = -4.03 Divide each side by '-0.4'. n = 10.075 Simplifying n = 10.075
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