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Simplifying 8(2n + 1) = 7(6n + 3) + 9 Reorder the terms: 8(1 + 2n) = 7(6n + 3) + 9 (1 * 8 + 2n * 8) = 7(6n + 3) + 9 (8 + 16n) = 7(6n + 3) + 9 Reorder the terms: 8 + 16n = 7(3 + 6n) + 9 8 + 16n = (3 * 7 + 6n * 7) + 9 8 + 16n = (21 + 42n) + 9 Reorder the terms: 8 + 16n = 21 + 9 + 42n Combine like terms: 21 + 9 = 30 8 + 16n = 30 + 42n Solving 8 + 16n = 30 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 8 + 16n + -42n = 30 + 42n + -42n Combine like terms: 16n + -42n = -26n 8 + -26n = 30 + 42n + -42n Combine like terms: 42n + -42n = 0 8 + -26n = 30 + 0 8 + -26n = 30 Add '-8' to each side of the equation. 8 + -8 + -26n = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -26n = 30 + -8 -26n = 30 + -8 Combine like terms: 30 + -8 = 22 -26n = 22 Divide each side by '-26'. n = -0.8461538462 Simplifying n = -0.8461538462
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