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Simplifying 4(2n + 3) = 9(5n + 8) + 7 Reorder the terms: 4(3 + 2n) = 9(5n + 8) + 7 (3 * 4 + 2n * 4) = 9(5n + 8) + 7 (12 + 8n) = 9(5n + 8) + 7 Reorder the terms: 12 + 8n = 9(8 + 5n) + 7 12 + 8n = (8 * 9 + 5n * 9) + 7 12 + 8n = (72 + 45n) + 7 Reorder the terms: 12 + 8n = 72 + 7 + 45n Combine like terms: 72 + 7 = 79 12 + 8n = 79 + 45n Solving 12 + 8n = 79 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 12 + 8n + -45n = 79 + 45n + -45n Combine like terms: 8n + -45n = -37n 12 + -37n = 79 + 45n + -45n Combine like terms: 45n + -45n = 0 12 + -37n = 79 + 0 12 + -37n = 79 Add '-12' to each side of the equation. 12 + -12 + -37n = 79 + -12 Combine like terms: 12 + -12 = 0 0 + -37n = 79 + -12 -37n = 79 + -12 Combine like terms: 79 + -12 = 67 -37n = 67 Divide each side by '-37'. n = -1.810810811 Simplifying n = -1.810810811
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