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Simplifying 2(11 + 5n) = 12n (11 * 2 + 5n * 2) = 12n (22 + 10n) = 12n Solving 22 + 10n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 22 + 10n + -12n = 12n + -12n Combine like terms: 10n + -12n = -2n 22 + -2n = 12n + -12n Combine like terms: 12n + -12n = 0 22 + -2n = 0 Add '-22' to each side of the equation. 22 + -22 + -2n = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -2n = 0 + -22 -2n = 0 + -22 Combine like terms: 0 + -22 = -22 -2n = -22 Divide each side by '-2'. n = 11 Simplifying n = 11
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