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Simplifying 0.10n + 12 = 0.12n + 10 Reorder the terms: 12 + 0.10n = 0.12n + 10 Reorder the terms: 12 + 0.10n = 10 + 0.12n Solving 12 + 0.10n = 10 + 0.12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.12n' to each side of the equation. 12 + 0.10n + -0.12n = 10 + 0.12n + -0.12n Combine like terms: 0.10n + -0.12n = -0.02n 12 + -0.02n = 10 + 0.12n + -0.12n Combine like terms: 0.12n + -0.12n = 0.00 12 + -0.02n = 10 + 0.00 12 + -0.02n = 10 Add '-12' to each side of the equation. 12 + -12 + -0.02n = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -0.02n = 10 + -12 -0.02n = 10 + -12 Combine like terms: 10 + -12 = -2 -0.02n = -2 Divide each side by '-0.02'. n = 100 Simplifying n = 100
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