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Simplifying 10n + 5 = 41 + -2n Reorder the terms: 5 + 10n = 41 + -2n Solving 5 + 10n = 41 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 5 + 10n + 2n = 41 + -2n + 2n Combine like terms: 10n + 2n = 12n 5 + 12n = 41 + -2n + 2n Combine like terms: -2n + 2n = 0 5 + 12n = 41 + 0 5 + 12n = 41 Add '-5' to each side of the equation. 5 + -5 + 12n = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 12n = 41 + -5 12n = 41 + -5 Combine like terms: 41 + -5 = 36 12n = 36 Divide each side by '12'. n = 3 Simplifying n = 3
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