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Simplifying z + 20 = 40 + -1z Reorder the terms: 20 + z = 40 + -1z Solving 20 + z = 40 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 20 + z + z = 40 + -1z + z Combine like terms: z + z = 2z 20 + 2z = 40 + -1z + z Combine like terms: -1z + z = 0 20 + 2z = 40 + 0 20 + 2z = 40 Add '-20' to each side of the equation. 20 + -20 + 2z = 40 + -20 Combine like terms: 20 + -20 = 0 0 + 2z = 40 + -20 2z = 40 + -20 Combine like terms: 40 + -20 = 20 2z = 20 Divide each side by '2'. z = 10 Simplifying z = 10
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