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Simplifying -6n + -20 = -2z + 4(1 + -3n) Reorder the terms: -20 + -6n = -2z + 4(1 + -3n) -20 + -6n = -2z + (1 * 4 + -3n * 4) -20 + -6n = -2z + (4 + -12n) Reorder the terms: -20 + -6n = 4 + -12n + -2z Solving -20 + -6n = 4 + -12n + -2z Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -20 + -6n + 12n = 4 + -12n + 12n + -2z Combine like terms: -6n + 12n = 6n -20 + 6n = 4 + -12n + 12n + -2z Combine like terms: -12n + 12n = 0 -20 + 6n = 4 + 0 + -2z -20 + 6n = 4 + -2z Add '20' to each side of the equation. -20 + 20 + 6n = 4 + 20 + -2z Combine like terms: -20 + 20 = 0 0 + 6n = 4 + 20 + -2z 6n = 4 + 20 + -2z Combine like terms: 4 + 20 = 24 6n = 24 + -2z Divide each side by '6'. n = 4 + -0.3333333333z Simplifying n = 4 + -0.3333333333z
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