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Simplifying 3(2n + 1) = 6(3n + 4) + 5 Reorder the terms: 3(1 + 2n) = 6(3n + 4) + 5 (1 * 3 + 2n * 3) = 6(3n + 4) + 5 (3 + 6n) = 6(3n + 4) + 5 Reorder the terms: 3 + 6n = 6(4 + 3n) + 5 3 + 6n = (4 * 6 + 3n * 6) + 5 3 + 6n = (24 + 18n) + 5 Reorder the terms: 3 + 6n = 24 + 5 + 18n Combine like terms: 24 + 5 = 29 3 + 6n = 29 + 18n Solving 3 + 6n = 29 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 3 + 6n + -18n = 29 + 18n + -18n Combine like terms: 6n + -18n = -12n 3 + -12n = 29 + 18n + -18n Combine like terms: 18n + -18n = 0 3 + -12n = 29 + 0 3 + -12n = 29 Add '-3' to each side of the equation. 3 + -3 + -12n = 29 + -3 Combine like terms: 3 + -3 = 0 0 + -12n = 29 + -3 -12n = 29 + -3 Combine like terms: 29 + -3 = 26 -12n = 26 Divide each side by '-12'. n = -2.166666667 Simplifying n = -2.166666667
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