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Simplifying 2(3n + 2) = 8(3n + 4) + 6 Reorder the terms: 2(2 + 3n) = 8(3n + 4) + 6 (2 * 2 + 3n * 2) = 8(3n + 4) + 6 (4 + 6n) = 8(3n + 4) + 6 Reorder the terms: 4 + 6n = 8(4 + 3n) + 6 4 + 6n = (4 * 8 + 3n * 8) + 6 4 + 6n = (32 + 24n) + 6 Reorder the terms: 4 + 6n = 32 + 6 + 24n Combine like terms: 32 + 6 = 38 4 + 6n = 38 + 24n Solving 4 + 6n = 38 + 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. 4 + 6n + -24n = 38 + 24n + -24n Combine like terms: 6n + -24n = -18n 4 + -18n = 38 + 24n + -24n Combine like terms: 24n + -24n = 0 4 + -18n = 38 + 0 4 + -18n = 38 Add '-4' to each side of the equation. 4 + -4 + -18n = 38 + -4 Combine like terms: 4 + -4 = 0 0 + -18n = 38 + -4 -18n = 38 + -4 Combine like terms: 38 + -4 = 34 -18n = 34 Divide each side by '-18'. n = -1.888888889 Simplifying n = -1.888888889
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