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Simplifying 3(2n + 6) = 2(n + 19) Reorder the terms: 3(6 + 2n) = 2(n + 19) (6 * 3 + 2n * 3) = 2(n + 19) (18 + 6n) = 2(n + 19) Reorder the terms: 18 + 6n = 2(19 + n) 18 + 6n = (19 * 2 + n * 2) 18 + 6n = (38 + 2n) Solving 18 + 6n = 38 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 18 + 6n + -2n = 38 + 2n + -2n Combine like terms: 6n + -2n = 4n 18 + 4n = 38 + 2n + -2n Combine like terms: 2n + -2n = 0 18 + 4n = 38 + 0 18 + 4n = 38 Add '-18' to each side of the equation. 18 + -18 + 4n = 38 + -18 Combine like terms: 18 + -18 = 0 0 + 4n = 38 + -18 4n = 38 + -18 Combine like terms: 38 + -18 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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