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Simplifying 4(1 + 6n) = 38 + 7n (1 * 4 + 6n * 4) = 38 + 7n (4 + 24n) = 38 + 7n Solving 4 + 24n = 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. 4 + 24n + -7n = 38 + 7n + -7n Combine like terms: 24n + -7n = 17n 4 + 17n = 38 + 7n + -7n Combine like terms: 7n + -7n = 0 4 + 17n = 38 + 0 4 + 17n = 38 Add '-4' to each side of the equation. 4 + -4 + 17n = 38 + -4 Combine like terms: 4 + -4 = 0 0 + 17n = 38 + -4 17n = 38 + -4 Combine like terms: 38 + -4 = 34 17n = 34 Divide each side by '17'. n = 2 Simplifying n = 2
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