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Simplifying 2(3 + n) + -1(4 + -3n) = 0 (3 * 2 + n * 2) + -1(4 + -3n) = 0 (6 + 2n) + -1(4 + -3n) = 0 6 + 2n + (4 * -1 + -3n * -1) = 0 6 + 2n + (-4 + 3n) = 0 Reorder the terms: 6 + -4 + 2n + 3n = 0 Combine like terms: 6 + -4 = 2 2 + 2n + 3n = 0 Combine like terms: 2n + 3n = 5n 2 + 5n = 0 Solving 2 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = 0 + -2 5n = 0 + -2 Combine like terms: 0 + -2 = -2 5n = -2 Divide each side by '5'. n = -0.4 Simplifying n = -0.4
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