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Simplifying 3(n + 6) = 7n + 38 Reorder the terms: 3(6 + n) = 7n + 38 (6 * 3 + n * 3) = 7n + 38 (18 + 3n) = 7n + 38 Reorder the terms: 18 + 3n = 38 + 7n Solving 18 + 3n = 38 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 18 + 3n + -7n = 38 + 7n + -7n Combine like terms: 3n + -7n = -4n 18 + -4n = 38 + 7n + -7n Combine like terms: 7n + -7n = 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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