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Simplifying -6(6 + -20n) = 20(2n + -3) (6 * -6 + -20n * -6) = 20(2n + -3) (-36 + 120n) = 20(2n + -3) Reorder the terms: -36 + 120n = 20(-3 + 2n) -36 + 120n = (-3 * 20 + 2n * 20) -36 + 120n = (-60 + 40n) Solving -36 + 120n = -60 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -36 + 120n + -40n = -60 + 40n + -40n Combine like terms: 120n + -40n = 80n -36 + 80n = -60 + 40n + -40n Combine like terms: 40n + -40n = 0 -36 + 80n = -60 + 0 -36 + 80n = -60 Add '36' to each side of the equation. -36 + 36 + 80n = -60 + 36 Combine like terms: -36 + 36 = 0 0 + 80n = -60 + 36 80n = -60 + 36 Combine like terms: -60 + 36 = -24 80n = -24 Divide each side by '80'. n = -0.3 Simplifying n = -0.3
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