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Simplifying 8(4n + 8) = -40 + 6n Reorder the terms: 8(8 + 4n) = -40 + 6n (8 * 8 + 4n * 8) = -40 + 6n (64 + 32n) = -40 + 6n Solving 64 + 32n = -40 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 64 + 32n + -6n = -40 + 6n + -6n Combine like terms: 32n + -6n = 26n 64 + 26n = -40 + 6n + -6n Combine like terms: 6n + -6n = 0 64 + 26n = -40 + 0 64 + 26n = -40 Add '-64' to each side of the equation. 64 + -64 + 26n = -40 + -64 Combine like terms: 64 + -64 = 0 0 + 26n = -40 + -64 26n = -40 + -64 Combine like terms: -40 + -64 = -104 26n = -104 Divide each side by '26'. n = -4 Simplifying n = -4
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