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Simplifying 5(4n + -1) + -3(2n + 3) = 0 Reorder the terms: 5(-1 + 4n) + -3(2n + 3) = 0 (-1 * 5 + 4n * 5) + -3(2n + 3) = 0 (-5 + 20n) + -3(2n + 3) = 0 Reorder the terms: -5 + 20n + -3(3 + 2n) = 0 -5 + 20n + (3 * -3 + 2n * -3) = 0 -5 + 20n + (-9 + -6n) = 0 Reorder the terms: -5 + -9 + 20n + -6n = 0 Combine like terms: -5 + -9 = -14 -14 + 20n + -6n = 0 Combine like terms: 20n + -6n = 14n -14 + 14n = 0 Solving -14 + 14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 14n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 14n = 0 + 14 14n = 0 + 14 Combine like terms: 0 + 14 = 14 14n = 14 Divide each side by '14'. n = 1 Simplifying n = 1
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