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Simplifying 9(n + 4) = 8 + 5n Reorder the terms: 9(4 + n) = 8 + 5n (4 * 9 + n * 9) = 8 + 5n (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 = -28 4n = -28 Divide each side by '4'. n = -7 Simplifying n = -7
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