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Simplifying 8(4n + 7) = -34 + 9n Reorder the terms: 8(7 + 4n) = -34 + 9n (7 * 8 + 4n * 8) = -34 + 9n (56 + 32n) = -34 + 9n Solving 56 + 32n = -34 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 56 + 32n + -9n = -34 + 9n + -9n Combine like terms: 32n + -9n = 23n 56 + 23n = -34 + 9n + -9n Combine like terms: 9n + -9n = 0 56 + 23n = -34 + 0 56 + 23n = -34 Add '-56' to each side of the equation. 56 + -56 + 23n = -34 + -56 Combine like terms: 56 + -56 = 0 0 + 23n = -34 + -56 23n = -34 + -56 Combine like terms: -34 + -56 = -90 23n = -90 Divide each side by '23'. n = -3.913043478 Simplifying n = -3.913043478
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