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Simplifying -4(8 + 5n) = 20 + 6n (8 * -4 + 5n * -4) = 20 + 6n (-32 + -20n) = 20 + 6n Solving -32 + -20n = 20 + 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. -32 + -20n + -6n = 20 + 6n + -6n Combine like terms: -20n + -6n = -26n -32 + -26n = 20 + 6n + -6n Combine like terms: 6n + -6n = 0 -32 + -26n = 20 + 0 -32 + -26n = 20 Add '32' to each side of the equation. -32 + 32 + -26n = 20 + 32 Combine like terms: -32 + 32 = 0 0 + -26n = 20 + 32 -26n = 20 + 32 Combine like terms: 20 + 32 = 52 -26n = 52 Divide each side by '-26'. n = -2 Simplifying n = -2
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