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Simplifying -7n + 6(5n + 5) = 214 Reorder the terms: -7n + 6(5 + 5n) = 214 -7n + (5 * 6 + 5n * 6) = 214 -7n + (30 + 30n) = 214 Reorder the terms: 30 + -7n + 30n = 214 Combine like terms: -7n + 30n = 23n 30 + 23n = 214 Solving 30 + 23n = 214 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 + 23n = 214 + -30 Combine like terms: 30 + -30 = 0 0 + 23n = 214 + -30 23n = 214 + -30 Combine like terms: 214 + -30 = 184 23n = 184 Divide each side by '23'. n = 8 Simplifying n = 8
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