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Simplifying 5(7n + 6) = 310 Reorder the terms: 5(6 + 7n) = 310 (6 * 5 + 7n * 5) = 310 (30 + 35n) = 310 Solving 30 + 35n = 310 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 + 35n = 310 + -30 Combine like terms: 30 + -30 = 0 0 + 35n = 310 + -30 35n = 310 + -30 Combine like terms: 310 + -30 = 280 35n = 280 Divide each side by '35'. n = 8 Simplifying n = 8
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