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Simplifying 5(4n + -1) + -3(2n + 3) = 10 Reorder the terms: 5(-1 + 4n) + -3(2n + 3) = 10 (-1 * 5 + 4n * 5) + -3(2n + 3) = 10 (-5 + 20n) + -3(2n + 3) = 10 Reorder the terms: -5 + 20n + -3(3 + 2n) = 10 -5 + 20n + (3 * -3 + 2n * -3) = 10 -5 + 20n + (-9 + -6n) = 10 Reorder the terms: -5 + -9 + 20n + -6n = 10 Combine like terms: -5 + -9 = -14 -14 + 20n + -6n = 10 Combine like terms: 20n + -6n = 14n -14 + 14n = 10 Solving -14 + 14n = 10 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 = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 14n = 10 + 14 14n = 10 + 14 Combine like terms: 10 + 14 = 24 14n = 24 Divide each side by '14'. n = 1.714285714 Simplifying n = 1.714285714
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