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Simplifying 4(2n + 4) = 9(5n + 7) + 9 Reorder the terms: 4(4 + 2n) = 9(5n + 7) + 9 (4 * 4 + 2n * 4) = 9(5n + 7) + 9 (16 + 8n) = 9(5n + 7) + 9 Reorder the terms: 16 + 8n = 9(7 + 5n) + 9 16 + 8n = (7 * 9 + 5n * 9) + 9 16 + 8n = (63 + 45n) + 9 Reorder the terms: 16 + 8n = 63 + 9 + 45n Combine like terms: 63 + 9 = 72 16 + 8n = 72 + 45n Solving 16 + 8n = 72 + 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. 16 + 8n + -45n = 72 + 45n + -45n Combine like terms: 8n + -45n = -37n 16 + -37n = 72 + 45n + -45n Combine like terms: 45n + -45n = 0 16 + -37n = 72 + 0 16 + -37n = 72 Add '-16' to each side of the equation. 16 + -16 + -37n = 72 + -16 Combine like terms: 16 + -16 = 0 0 + -37n = 72 + -16 -37n = 72 + -16 Combine like terms: 72 + -16 = 56 -37n = 56 Divide each side by '-37'. n = -1.513513514 Simplifying n = -1.513513514
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