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Simplifying 8(4n + 3) = -36 + 2n Reorder the terms: 8(3 + 4n) = -36 + 2n (3 * 8 + 4n * 8) = -36 + 2n (24 + 32n) = -36 + 2n Solving 24 + 32n = -36 + 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. 24 + 32n + -2n = -36 + 2n + -2n Combine like terms: 32n + -2n = 30n 24 + 30n = -36 + 2n + -2n Combine like terms: 2n + -2n = 0 24 + 30n = -36 + 0 24 + 30n = -36 Add '-24' to each side of the equation. 24 + -24 + 30n = -36 + -24 Combine like terms: 24 + -24 = 0 0 + 30n = -36 + -24 30n = -36 + -24 Combine like terms: -36 + -24 = -60 30n = -60 Divide each side by '30'. n = -2 Simplifying n = -2
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