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Simplifying 5(3n + 6) = 71 Reorder the terms: 5(6 + 3n) = 71 (6 * 5 + 3n * 5) = 71 (30 + 15n) = 71 Solving 30 + 15n = 71 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 15n = 71 + -30 Combine like terms: 30 + -30 = 0 0 + 15n = 71 + -30 15n = 71 + -30 Combine like terms: 71 + -30 = 41 15n = 41 Divide each side by '15'. n = 2.733333333 Simplifying n = 2.733333333
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