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Simplifying 3(n + 8) + 2(n + -2) = 0 Reorder the terms: 3(8 + n) + 2(n + -2) = 0 (8 * 3 + n * 3) + 2(n + -2) = 0 (24 + 3n) + 2(n + -2) = 0 Reorder the terms: 24 + 3n + 2(-2 + n) = 0 24 + 3n + (-2 * 2 + n * 2) = 0 24 + 3n + (-4 + 2n) = 0 Reorder the terms: 24 + -4 + 3n + 2n = 0 Combine like terms: 24 + -4 = 20 20 + 3n + 2n = 0 Combine like terms: 3n + 2n = 5n 20 + 5n = 0 Solving 20 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5n = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5n = 0 + -20 5n = 0 + -20 Combine like terms: 0 + -20 = -20 5n = -20 Divide each side by '5'. n = -4 Simplifying n = -4
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