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Simplifying 7(2n + 1) = 9(5n + 9) + 5 Reorder the terms: 7(1 + 2n) = 9(5n + 9) + 5 (1 * 7 + 2n * 7) = 9(5n + 9) + 5 (7 + 14n) = 9(5n + 9) + 5 Reorder the terms: 7 + 14n = 9(9 + 5n) + 5 7 + 14n = (9 * 9 + 5n * 9) + 5 7 + 14n = (81 + 45n) + 5 Reorder the terms: 7 + 14n = 81 + 5 + 45n Combine like terms: 81 + 5 = 86 7 + 14n = 86 + 45n Solving 7 + 14n = 86 + 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. 7 + 14n + -45n = 86 + 45n + -45n Combine like terms: 14n + -45n = -31n 7 + -31n = 86 + 45n + -45n Combine like terms: 45n + -45n = 0 7 + -31n = 86 + 0 7 + -31n = 86 Add '-7' to each side of the equation. 7 + -7 + -31n = 86 + -7 Combine like terms: 7 + -7 = 0 0 + -31n = 86 + -7 -31n = 86 + -7 Combine like terms: 86 + -7 = 79 -31n = 79 Divide each side by '-31'. n = -2.548387097 Simplifying n = -2.548387097
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