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Simplifying 6n + -2(n + -5) + 4(n + -2) = 0 Reorder the terms: 6n + -2(-5 + n) + 4(n + -2) = 0 6n + (-5 * -2 + n * -2) + 4(n + -2) = 0 6n + (10 + -2n) + 4(n + -2) = 0 Reorder the terms: 6n + 10 + -2n + 4(-2 + n) = 0 6n + 10 + -2n + (-2 * 4 + n * 4) = 0 6n + 10 + -2n + (-8 + 4n) = 0 Reorder the terms: 10 + -8 + 6n + -2n + 4n = 0 Combine like terms: 10 + -8 = 2 2 + 6n + -2n + 4n = 0 Combine like terms: 6n + -2n = 4n 2 + 4n + 4n = 0 Combine like terms: 4n + 4n = 8n 2 + 8n = 0 Solving 2 + 8n = 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 + 8n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8n = 0 + -2 8n = 0 + -2 Combine like terms: 0 + -2 = -2 8n = -2 Divide each side by '8'. n = -0.25 Simplifying n = -0.25
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