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Simplifying 3 + 2z + -1 = 8z + 20 + -4z Reorder the terms: 3 + -1 + 2z = 8z + 20 + -4z Combine like terms: 3 + -1 = 2 2 + 2z = 8z + 20 + -4z Reorder the terms: 2 + 2z = 20 + 8z + -4z Combine like terms: 8z + -4z = 4z 2 + 2z = 20 + 4z Solving 2 + 2z = 20 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 2 + 2z + -4z = 20 + 4z + -4z Combine like terms: 2z + -4z = -2z 2 + -2z = 20 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + -2z = 20 + 0 2 + -2z = 20 Add '-2' to each side of the equation. 2 + -2 + -2z = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -2z = 20 + -2 -2z = 20 + -2 Combine like terms: 20 + -2 = 18 -2z = 18 Divide each side by '-2'. z = -9 Simplifying z = -9
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