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Simplifying 2(1 + 10n) + -6(1 + -2n) = 0 (1 * 2 + 10n * 2) + -6(1 + -2n) = 0 (2 + 20n) + -6(1 + -2n) = 0 2 + 20n + (1 * -6 + -2n * -6) = 0 2 + 20n + (-6 + 12n) = 0 Reorder the terms: 2 + -6 + 20n + 12n = 0 Combine like terms: 2 + -6 = -4 -4 + 20n + 12n = 0 Combine like terms: 20n + 12n = 32n -4 + 32n = 0 Solving -4 + 32n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 32n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 32n = 0 + 4 32n = 0 + 4 Combine like terms: 0 + 4 = 4 32n = 4 Divide each side by '32'. n = 0.125 Simplifying n = 0.125
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