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Simplifying -4(1 + 20n) + 10(1 + 2n) = 0 (1 * -4 + 20n * -4) + 10(1 + 2n) = 0 (-4 + -80n) + 10(1 + 2n) = 0 -4 + -80n + (1 * 10 + 2n * 10) = 0 -4 + -80n + (10 + 20n) = 0 Reorder the terms: -4 + 10 + -80n + 20n = 0 Combine like terms: -4 + 10 = 6 6 + -80n + 20n = 0 Combine like terms: -80n + 20n = -60n 6 + -60n = 0 Solving 6 + -60n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -60n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -60n = 0 + -6 -60n = 0 + -6 Combine like terms: 0 + -6 = -6 -60n = -6 Divide each side by '-60'. n = 0.1 Simplifying n = 0.1
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