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Simplifying 8 = 5(4n + 3) + -3(2n + -7) + -20 Reorder the terms: 8 = 5(3 + 4n) + -3(2n + -7) + -20 8 = (3 * 5 + 4n * 5) + -3(2n + -7) + -20 8 = (15 + 20n) + -3(2n + -7) + -20 Reorder the terms: 8 = 15 + 20n + -3(-7 + 2n) + -20 8 = 15 + 20n + (-7 * -3 + 2n * -3) + -20 8 = 15 + 20n + (21 + -6n) + -20 Reorder the terms: 8 = 15 + 21 + -20 + 20n + -6n Combine like terms: 15 + 21 = 36 8 = 36 + -20 + 20n + -6n Combine like terms: 36 + -20 = 16 8 = 16 + 20n + -6n Combine like terms: 20n + -6n = 14n 8 = 16 + 14n Solving 8 = 16 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 8 + -14n = 16 + 14n + -14n Combine like terms: 14n + -14n = 0 8 + -14n = 16 + 0 8 + -14n = 16 Add '-8' to each side of the equation. 8 + -8 + -14n = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -14n = 16 + -8 -14n = 16 + -8 Combine like terms: 16 + -8 = 8 -14n = 8 Divide each side by '-14'. n = -0.5714285714 Simplifying n = -0.5714285714
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