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Simplifying 3(n + 7) + 4(n + -2) = 0 Reorder the terms: 3(7 + n) + 4(n + -2) = 0 (7 * 3 + n * 3) + 4(n + -2) = 0 (21 + 3n) + 4(n + -2) = 0 Reorder the terms: 21 + 3n + 4(-2 + n) = 0 21 + 3n + (-2 * 4 + n * 4) = 0 21 + 3n + (-8 + 4n) = 0 Reorder the terms: 21 + -8 + 3n + 4n = 0 Combine like terms: 21 + -8 = 13 13 + 3n + 4n = 0 Combine like terms: 3n + 4n = 7n 13 + 7n = 0 Solving 13 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 7n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 7n = 0 + -13 7n = 0 + -13 Combine like terms: 0 + -13 = -13 7n = -13 Divide each side by '7'. n = -1.857142857 Simplifying n = -1.857142857
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