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Simplifying 6(1 + 4n) = 102 (1 * 6 + 4n * 6) = 102 (6 + 24n) = 102 Solving 6 + 24n = 102 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 24n = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 24n = 102 + -6 24n = 102 + -6 Combine like terms: 102 + -6 = 96 24n = 96 Divide each side by '24'. n = 4 Simplifying n = 4
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