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Simplifying 8(-4 + -3n) = 20 + 2n (-4 * 8 + -3n * 8) = 20 + 2n (-32 + -24n) = 20 + 2n Solving -32 + -24n = 20 + 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. -32 + -24n + -2n = 20 + 2n + -2n Combine like terms: -24n + -2n = -26n -32 + -26n = 20 + 2n + -2n Combine like terms: 2n + -2n = 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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