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Simplifying 2(6 + -20n) = 20(2n + -3) (6 * 2 + -20n * 2) = 20(2n + -3) (12 + -40n) = 20(2n + -3) Reorder the terms: 12 + -40n = 20(-3 + 2n) 12 + -40n = (-3 * 20 + 2n * 20) 12 + -40n = (-60 + 40n) Solving 12 + -40n = -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. 12 + -40n + -40n = -60 + 40n + -40n Combine like terms: -40n + -40n = -80n 12 + -80n = -60 + 40n + -40n Combine like terms: 40n + -40n = 0 12 + -80n = -60 + 0 12 + -80n = -60 Add '-12' to each side of the equation. 12 + -12 + -80n = -60 + -12 Combine like terms: 12 + -12 = 0 0 + -80n = -60 + -12 -80n = -60 + -12 Combine like terms: -60 + -12 = -72 -80n = -72 Divide each side by '-80'. n = 0.9 Simplifying n = 0.9
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