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Simplifying 8(4n + 8) = -20 + 4n Reorder the terms: 8(8 + 4n) = -20 + 4n (8 * 8 + 4n * 8) = -20 + 4n (64 + 32n) = -20 + 4n Solving 64 + 32n = -20 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 64 + 32n + -4n = -20 + 4n + -4n Combine like terms: 32n + -4n = 28n 64 + 28n = -20 + 4n + -4n Combine like terms: 4n + -4n = 0 64 + 28n = -20 + 0 64 + 28n = -20 Add '-64' to each side of the equation. 64 + -64 + 28n = -20 + -64 Combine like terms: 64 + -64 = 0 0 + 28n = -20 + -64 28n = -20 + -64 Combine like terms: -20 + -64 = -84 28n = -84 Divide each side by '28'. n = -3 Simplifying n = -3
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