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Simplifying 2(2n + 5) = 9(4n + 7) + 9 Reorder the terms: 2(5 + 2n) = 9(4n + 7) + 9 (5 * 2 + 2n * 2) = 9(4n + 7) + 9 (10 + 4n) = 9(4n + 7) + 9 Reorder the terms: 10 + 4n = 9(7 + 4n) + 9 10 + 4n = (7 * 9 + 4n * 9) + 9 10 + 4n = (63 + 36n) + 9 Reorder the terms: 10 + 4n = 63 + 9 + 36n Combine like terms: 63 + 9 = 72 10 + 4n = 72 + 36n Solving 10 + 4n = 72 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 10 + 4n + -36n = 72 + 36n + -36n Combine like terms: 4n + -36n = -32n 10 + -32n = 72 + 36n + -36n Combine like terms: 36n + -36n = 0 10 + -32n = 72 + 0 10 + -32n = 72 Add '-10' to each side of the equation. 10 + -10 + -32n = 72 + -10 Combine like terms: 10 + -10 = 0 0 + -32n = 72 + -10 -32n = 72 + -10 Combine like terms: 72 + -10 = 62 -32n = 62 Divide each side by '-32'. n = -1.9375 Simplifying n = -1.9375
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