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Simplifying 3n + -2[5 + -2(2n + -4)] = 0 Reorder the terms: 3n + -2[5 + -2(-4 + 2n)] = 0 3n + -2[5 + (-4 * -2 + 2n * -2)] = 0 3n + -2[5 + (8 + -4n)] = 0 Combine like terms: 5 + 8 = 13 3n + -2[13 + -4n] = 0 3n + [13 * -2 + -4n * -2] = 0 3n + [-26 + 8n] = 0 Reorder the terms: -26 + 3n + 8n = 0 Combine like terms: 3n + 8n = 11n -26 + 11n = 0 Solving -26 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 11n = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 11n = 0 + 26 11n = 0 + 26 Combine like terms: 0 + 26 = 26 11n = 26 Divide each side by '11'. n = 2.363636364 Simplifying n = 2.363636364
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