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Simplifying 3(2 + n) + -1(5 + -2n) = 0 (2 * 3 + n * 3) + -1(5 + -2n) = 0 (6 + 3n) + -1(5 + -2n) = 0 6 + 3n + (5 * -1 + -2n * -1) = 0 6 + 3n + (-5 + 2n) = 0 Reorder the terms: 6 + -5 + 3n + 2n = 0 Combine like terms: 6 + -5 = 1 1 + 3n + 2n = 0 Combine like terms: 3n + 2n = 5n 1 + 5n = 0 Solving 1 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5n = 0 + -1 5n = 0 + -1 Combine like terms: 0 + -1 = -1 5n = -1 Divide each side by '5'. n = -0.2 Simplifying n = -0.2
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