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Simplifying 6(2n + 2) = 6(4n + 1) + 5 Reorder the terms: 6(2 + 2n) = 6(4n + 1) + 5 (2 * 6 + 2n * 6) = 6(4n + 1) + 5 (12 + 12n) = 6(4n + 1) + 5 Reorder the terms: 12 + 12n = 6(1 + 4n) + 5 12 + 12n = (1 * 6 + 4n * 6) + 5 12 + 12n = (6 + 24n) + 5 Reorder the terms: 12 + 12n = 6 + 5 + 24n Combine like terms: 6 + 5 = 11 12 + 12n = 11 + 24n Solving 12 + 12n = 11 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 12 + 12n + -24n = 11 + 24n + -24n Combine like terms: 12n + -24n = -12n 12 + -12n = 11 + 24n + -24n Combine like terms: 24n + -24n = 0 12 + -12n = 11 + 0 12 + -12n = 11 Add '-12' to each side of the equation. 12 + -12 + -12n = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -12n = 11 + -12 -12n = 11 + -12 Combine like terms: 11 + -12 = -1 -12n = -1 Divide each side by '-12'. n = 0.08333333333 Simplifying n = 0.08333333333
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