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Simplifying 6(5n + 2) = 42 Reorder the terms: 6(2 + 5n) = 42 (2 * 6 + 5n * 6) = 42 (12 + 30n) = 42 Solving 12 + 30n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 30n = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 30n = 42 + -12 30n = 42 + -12 Combine like terms: 42 + -12 = 30 30n = 30 Divide each side by '30'. n = 1 Simplifying n = 1
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