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Simplifying 9(2n + 5) = 7(5n + 7) + 9 Reorder the terms: 9(5 + 2n) = 7(5n + 7) + 9 (5 * 9 + 2n * 9) = 7(5n + 7) + 9 (45 + 18n) = 7(5n + 7) + 9 Reorder the terms: 45 + 18n = 7(7 + 5n) + 9 45 + 18n = (7 * 7 + 5n * 7) + 9 45 + 18n = (49 + 35n) + 9 Reorder the terms: 45 + 18n = 49 + 9 + 35n Combine like terms: 49 + 9 = 58 45 + 18n = 58 + 35n Solving 45 + 18n = 58 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 45 + 18n + -35n = 58 + 35n + -35n Combine like terms: 18n + -35n = -17n 45 + -17n = 58 + 35n + -35n Combine like terms: 35n + -35n = 0 45 + -17n = 58 + 0 45 + -17n = 58 Add '-45' to each side of the equation. 45 + -45 + -17n = 58 + -45 Combine like terms: 45 + -45 = 0 0 + -17n = 58 + -45 -17n = 58 + -45 Combine like terms: 58 + -45 = 13 -17n = 13 Divide each side by '-17'. n = -0.7647058824 Simplifying n = -0.7647058824
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