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Simplifying 3(2 + n) + -2(5 + -2n) = 0 (2 * 3 + n * 3) + -2(5 + -2n) = 0 (6 + 3n) + -2(5 + -2n) = 0 6 + 3n + (5 * -2 + -2n * -2) = 0 6 + 3n + (-10 + 4n) = 0 Reorder the terms: 6 + -10 + 3n + 4n = 0 Combine like terms: 6 + -10 = -4 -4 + 3n + 4n = 0 Combine like terms: 3n + 4n = 7n -4 + 7n = 0 Solving -4 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7n = 0 + 4 7n = 0 + 4 Combine like terms: 0 + 4 = 4 7n = 4 Divide each side by '7'. n = 0.5714285714 Simplifying n = 0.5714285714
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