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Simplifying 5(4n + -9) + 8 = 13 + -14n + 18 Reorder the terms: 5(-9 + 4n) + 8 = 13 + -14n + 18 (-9 * 5 + 4n * 5) + 8 = 13 + -14n + 18 (-45 + 20n) + 8 = 13 + -14n + 18 Reorder the terms: -45 + 8 + 20n = 13 + -14n + 18 Combine like terms: -45 + 8 = -37 -37 + 20n = 13 + -14n + 18 Reorder the terms: -37 + 20n = 13 + 18 + -14n Combine like terms: 13 + 18 = 31 -37 + 20n = 31 + -14n Solving -37 + 20n = 31 + -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. -37 + 20n + 14n = 31 + -14n + 14n Combine like terms: 20n + 14n = 34n -37 + 34n = 31 + -14n + 14n Combine like terms: -14n + 14n = 0 -37 + 34n = 31 + 0 -37 + 34n = 31 Add '37' to each side of the equation. -37 + 37 + 34n = 31 + 37 Combine like terms: -37 + 37 = 0 0 + 34n = 31 + 37 34n = 31 + 37 Combine like terms: 31 + 37 = 68 34n = 68 Divide each side by '34'. n = 2 Simplifying n = 2
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