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Simplifying 3(7n + 6) = 2(19) + 1 Reorder the terms: 3(6 + 7n) = 2(19) + 1 (6 * 3 + 7n * 3) = 2(19) + 1 (18 + 21n) = 2(19) + 1 Multiply 2 * 19 18 + 21n = 38 + 1 Combine like terms: 38 + 1 = 39 18 + 21n = 39 Solving 18 + 21n = 39 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 21n = 39 + -18 Combine like terms: 18 + -18 = 0 0 + 21n = 39 + -18 21n = 39 + -18 Combine like terms: 39 + -18 = 21 21n = 21 Divide each side by '21'. n = 1 Simplifying n = 1
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