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Simplifying 9(n + -4) = 5n + 8 Reorder the terms: 9(-4 + n) = 5n + 8 (-4 * 9 + n * 9) = 5n + 8 (-36 + 9n) = 5n + 8 Reorder the terms: -36 + 9n = 8 + 5n Solving -36 + 9n = 8 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -36 + 9n + -5n = 8 + 5n + -5n Combine like terms: 9n + -5n = 4n -36 + 4n = 8 + 5n + -5n Combine like terms: 5n + -5n = 0 -36 + 4n = 8 + 0 -36 + 4n = 8 Add '36' to each side of the equation. -36 + 36 + 4n = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 4n = 8 + 36 4n = 8 + 36 Combine like terms: 8 + 36 = 44 4n = 44 Divide each side by '4'. n = 11 Simplifying n = 11
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