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Simplifying 9(n + -8) = 4(n + 5) Reorder the terms: 9(-8 + n) = 4(n + 5) (-8 * 9 + n * 9) = 4(n + 5) (-72 + 9n) = 4(n + 5) Reorder the terms: -72 + 9n = 4(5 + n) -72 + 9n = (5 * 4 + n * 4) -72 + 9n = (20 + 4n) Solving -72 + 9n = 20 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -72 + 9n + -4n = 20 + 4n + -4n Combine like terms: 9n + -4n = 5n -72 + 5n = 20 + 4n + -4n Combine like terms: 4n + -4n = 0 -72 + 5n = 20 + 0 -72 + 5n = 20 Add '72' to each side of the equation. -72 + 72 + 5n = 20 + 72 Combine like terms: -72 + 72 = 0 0 + 5n = 20 + 72 5n = 20 + 72 Combine like terms: 20 + 72 = 92 5n = 92 Divide each side by '5'. n = 18.4 Simplifying n = 18.4
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