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Simplifying 7n + 3(10 + 5n) = 74 7n + (10 * 3 + 5n * 3) = 74 7n + (30 + 15n) = 74 Reorder the terms: 30 + 7n + 15n = 74 Combine like terms: 7n + 15n = 22n 30 + 22n = 74 Solving 30 + 22n = 74 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 + 22n = 74 + -30 Combine like terms: 30 + -30 = 0 0 + 22n = 74 + -30 22n = 74 + -30 Combine like terms: 74 + -30 = 44 22n = 44 Divide each side by '22'. n = 2 Simplifying n = 2
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