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Simplifying 4(2n + 2) = 9(5n + 6) + 7 Reorder the terms: 4(2 + 2n) = 9(5n + 6) + 7 (2 * 4 + 2n * 4) = 9(5n + 6) + 7 (8 + 8n) = 9(5n + 6) + 7 Reorder the terms: 8 + 8n = 9(6 + 5n) + 7 8 + 8n = (6 * 9 + 5n * 9) + 7 8 + 8n = (54 + 45n) + 7 Reorder the terms: 8 + 8n = 54 + 7 + 45n Combine like terms: 54 + 7 = 61 8 + 8n = 61 + 45n Solving 8 + 8n = 61 + 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. 8 + 8n + -45n = 61 + 45n + -45n Combine like terms: 8n + -45n = -37n 8 + -37n = 61 + 45n + -45n Combine like terms: 45n + -45n = 0 8 + -37n = 61 + 0 8 + -37n = 61 Add '-8' to each side of the equation. 8 + -8 + -37n = 61 + -8 Combine like terms: 8 + -8 = 0 0 + -37n = 61 + -8 -37n = 61 + -8 Combine like terms: 61 + -8 = 53 -37n = 53 Divide each side by '-37'. n = -1.432432432 Simplifying n = -1.432432432
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