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Simplifying 7(n + 5) + 2(n + -2) = 0 Reorder the terms: 7(5 + n) + 2(n + -2) = 0 (5 * 7 + n * 7) + 2(n + -2) = 0 (35 + 7n) + 2(n + -2) = 0 Reorder the terms: 35 + 7n + 2(-2 + n) = 0 35 + 7n + (-2 * 2 + n * 2) = 0 35 + 7n + (-4 + 2n) = 0 Reorder the terms: 35 + -4 + 7n + 2n = 0 Combine like terms: 35 + -4 = 31 31 + 7n + 2n = 0 Combine like terms: 7n + 2n = 9n 31 + 9n = 0 Solving 31 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 9n = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 9n = 0 + -31 9n = 0 + -31 Combine like terms: 0 + -31 = -31 9n = -31 Divide each side by '9'. n = -3.444444444 Simplifying n = -3.444444444
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