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Simplifying -3(n + -4) + -2(-6n + 5) = 0 Reorder the terms: -3(-4 + n) + -2(-6n + 5) = 0 (-4 * -3 + n * -3) + -2(-6n + 5) = 0 (12 + -3n) + -2(-6n + 5) = 0 Reorder the terms: 12 + -3n + -2(5 + -6n) = 0 12 + -3n + (5 * -2 + -6n * -2) = 0 12 + -3n + (-10 + 12n) = 0 Reorder the terms: 12 + -10 + -3n + 12n = 0 Combine like terms: 12 + -10 = 2 2 + -3n + 12n = 0 Combine like terms: -3n + 12n = 9n 2 + 9n = 0 Solving 2 + 9n = 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 + 9n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9n = 0 + -2 9n = 0 + -2 Combine like terms: 0 + -2 = -2 9n = -2 Divide each side by '9'. n = -0.2222222222 Simplifying n = -0.2222222222
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