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Simplifying 7n + 2(4 + 6) + -9 = 46 Combine like terms: 4 + 6 = 10 7n + 2(10) + -9 = 46 Multiply 2 * 10 7n + 20 + -9 = 46 Reorder the terms: 20 + -9 + 7n = 46 Combine like terms: 20 + -9 = 11 11 + 7n = 46 Solving 11 + 7n = 46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7n = 46 + -11 Combine like terms: 11 + -11 = 0 0 + 7n = 46 + -11 7n = 46 + -11 Combine like terms: 46 + -11 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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