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Simplifying 9(3n + 4) = 8(9n + 4) + 4 Reorder the terms: 9(4 + 3n) = 8(9n + 4) + 4 (4 * 9 + 3n * 9) = 8(9n + 4) + 4 (36 + 27n) = 8(9n + 4) + 4 Reorder the terms: 36 + 27n = 8(4 + 9n) + 4 36 + 27n = (4 * 8 + 9n * 8) + 4 36 + 27n = (32 + 72n) + 4 Reorder the terms: 36 + 27n = 32 + 4 + 72n Combine like terms: 32 + 4 = 36 36 + 27n = 36 + 72n Add '-36' to each side of the equation. 36 + -36 + 27n = 36 + -36 + 72n Combine like terms: 36 + -36 = 0 0 + 27n = 36 + -36 + 72n 27n = 36 + -36 + 72n Combine like terms: 36 + -36 = 0 27n = 0 + 72n 27n = 72n Solving 27n = 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 27n + -72n = 72n + -72n Combine like terms: 27n + -72n = -45n -45n = 72n + -72n Combine like terms: 72n + -72n = 0 -45n = 0 Divide each side by '-45'. n = 0 Simplifying n = 0
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