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Simplifying 4(2n + 3) = 9(3n + 9) + 9 Reorder the terms: 4(3 + 2n) = 9(3n + 9) + 9 (3 * 4 + 2n * 4) = 9(3n + 9) + 9 (12 + 8n) = 9(3n + 9) + 9 Reorder the terms: 12 + 8n = 9(9 + 3n) + 9 12 + 8n = (9 * 9 + 3n * 9) + 9 12 + 8n = (81 + 27n) + 9 Reorder the terms: 12 + 8n = 81 + 9 + 27n Combine like terms: 81 + 9 = 90 12 + 8n = 90 + 27n Solving 12 + 8n = 90 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. 12 + 8n + -27n = 90 + 27n + -27n Combine like terms: 8n + -27n = -19n 12 + -19n = 90 + 27n + -27n Combine like terms: 27n + -27n = 0 12 + -19n = 90 + 0 12 + -19n = 90 Add '-12' to each side of the equation. 12 + -12 + -19n = 90 + -12 Combine like terms: 12 + -12 = 0 0 + -19n = 90 + -12 -19n = 90 + -12 Combine like terms: 90 + -12 = 78 -19n = 78 Divide each side by '-19'. n = -4.105263158 Simplifying n = -4.105263158
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