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Simplifying 8(4n + 7) = -34 + 2n Reorder the terms: 8(7 + 4n) = -34 + 2n (7 * 8 + 4n * 8) = -34 + 2n (56 + 32n) = -34 + 2n Solving 56 + 32n = -34 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 56 + 32n + -2n = -34 + 2n + -2n Combine like terms: 32n + -2n = 30n 56 + 30n = -34 + 2n + -2n Combine like terms: 2n + -2n = 0 56 + 30n = -34 + 0 56 + 30n = -34 Add '-56' to each side of the equation. 56 + -56 + 30n = -34 + -56 Combine like terms: 56 + -56 = 0 0 + 30n = -34 + -56 30n = -34 + -56 Combine like terms: -34 + -56 = -90 30n = -90 Divide each side by '30'. n = -3 Simplifying n = -3
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