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Simplifying 2(3n + 4) + -2(2n + -5) = 0 Reorder the terms: 2(4 + 3n) + -2(2n + -5) = 0 (4 * 2 + 3n * 2) + -2(2n + -5) = 0 (8 + 6n) + -2(2n + -5) = 0 Reorder the terms: 8 + 6n + -2(-5 + 2n) = 0 8 + 6n + (-5 * -2 + 2n * -2) = 0 8 + 6n + (10 + -4n) = 0 Reorder the terms: 8 + 10 + 6n + -4n = 0 Combine like terms: 8 + 10 = 18 18 + 6n + -4n = 0 Combine like terms: 6n + -4n = 2n 18 + 2n = 0 Solving 18 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2n = 0 + -18 2n = 0 + -18 Combine like terms: 0 + -18 = -18 2n = -18 Divide each side by '2'. n = -9 Simplifying n = -9
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