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Simplifying 7(2n + 1) = 9(5n + 6) + 3 Reorder the terms: 7(1 + 2n) = 9(5n + 6) + 3 (1 * 7 + 2n * 7) = 9(5n + 6) + 3 (7 + 14n) = 9(5n + 6) + 3 Reorder the terms: 7 + 14n = 9(6 + 5n) + 3 7 + 14n = (6 * 9 + 5n * 9) + 3 7 + 14n = (54 + 45n) + 3 Reorder the terms: 7 + 14n = 54 + 3 + 45n Combine like terms: 54 + 3 = 57 7 + 14n = 57 + 45n Solving 7 + 14n = 57 + 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 = 57 + 45n + -45n Combine like terms: 14n + -45n = -31n 7 + -31n = 57 + 45n + -45n Combine like terms: 45n + -45n = 0 7 + -31n = 57 + 0 7 + -31n = 57 Add '-7' to each side of the equation. 7 + -7 + -31n = 57 + -7 Combine like terms: 7 + -7 = 0 0 + -31n = 57 + -7 -31n = 57 + -7 Combine like terms: 57 + -7 = 50 -31n = 50 Divide each side by '-31'. n = -1.612903226 Simplifying n = -1.612903226
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