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Simplifying 3(7 + 4n) = 41 + 10n (7 * 3 + 4n * 3) = 41 + 10n (21 + 12n) = 41 + 10n Solving 21 + 12n = 41 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 21 + 12n + -10n = 41 + 10n + -10n Combine like terms: 12n + -10n = 2n 21 + 2n = 41 + 10n + -10n Combine like terms: 10n + -10n = 0 21 + 2n = 41 + 0 21 + 2n = 41 Add '-21' to each side of the equation. 21 + -21 + 2n = 41 + -21 Combine like terms: 21 + -21 = 0 0 + 2n = 41 + -21 2n = 41 + -21 Combine like terms: 41 + -21 = 20 2n = 20 Divide each side by '2'. n = 10 Simplifying n = 10
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