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Simplifying 7(n + 6) = 38 + 3n Reorder the terms: 7(6 + n) = 38 + 3n (6 * 7 + n * 7) = 38 + 3n (42 + 7n) = 38 + 3n Solving 42 + 7n = 38 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 42 + 7n + -3n = 38 + 3n + -3n Combine like terms: 7n + -3n = 4n 42 + 4n = 38 + 3n + -3n Combine like terms: 3n + -3n = 0 42 + 4n = 38 + 0 42 + 4n = 38 Add '-42' to each side of the equation. 42 + -42 + 4n = 38 + -42 Combine like terms: 42 + -42 = 0 0 + 4n = 38 + -42 4n = 38 + -42 Combine like terms: 38 + -42 = -4 4n = -4 Divide each side by '4'. n = -1 Simplifying n = -1
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