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Simplifying 2(3n + 2) = 6(3n + 6) + 5 Reorder the terms: 2(2 + 3n) = 6(3n + 6) + 5 (2 * 2 + 3n * 2) = 6(3n + 6) + 5 (4 + 6n) = 6(3n + 6) + 5 Reorder the terms: 4 + 6n = 6(6 + 3n) + 5 4 + 6n = (6 * 6 + 3n * 6) + 5 4 + 6n = (36 + 18n) + 5 Reorder the terms: 4 + 6n = 36 + 5 + 18n Combine like terms: 36 + 5 = 41 4 + 6n = 41 + 18n Solving 4 + 6n = 41 + 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. 4 + 6n + -18n = 41 + 18n + -18n Combine like terms: 6n + -18n = -12n 4 + -12n = 41 + 18n + -18n Combine like terms: 18n + -18n = 0 4 + -12n = 41 + 0 4 + -12n = 41 Add '-4' to each side of the equation. 4 + -4 + -12n = 41 + -4 Combine like terms: 4 + -4 = 0 0 + -12n = 41 + -4 -12n = 41 + -4 Combine like terms: 41 + -4 = 37 -12n = 37 Divide each side by '-12'. n = -3.083333333 Simplifying n = -3.083333333
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