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Simplifying 3n + -4(4n + 2) + 2(n + 5) = 0 Reorder the terms: 3n + -4(2 + 4n) + 2(n + 5) = 0 3n + (2 * -4 + 4n * -4) + 2(n + 5) = 0 3n + (-8 + -16n) + 2(n + 5) = 0 Reorder the terms: 3n + -8 + -16n + 2(5 + n) = 0 3n + -8 + -16n + (5 * 2 + n * 2) = 0 3n + -8 + -16n + (10 + 2n) = 0 Reorder the terms: -8 + 10 + 3n + -16n + 2n = 0 Combine like terms: -8 + 10 = 2 2 + 3n + -16n + 2n = 0 Combine like terms: 3n + -16n = -13n 2 + -13n + 2n = 0 Combine like terms: -13n + 2n = -11n 2 + -11n = 0 Solving 2 + -11n = 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 + -11n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -11n = 0 + -2 -11n = 0 + -2 Combine like terms: 0 + -2 = -2 -11n = -2 Divide each side by '-11'. n = 0.1818181818 Simplifying n = 0.1818181818
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