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Simplifying 2z = 8(5 + -1z) 2z = (5 * 8 + -1z * 8) 2z = (40 + -8z) Solving 2z = 40 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 2z + 8z = 40 + -8z + 8z Combine like terms: 2z + 8z = 10z 10z = 40 + -8z + 8z Combine like terms: -8z + 8z = 0 10z = 40 + 0 10z = 40 Divide each side by '10'. z = 4 Simplifying z = 4
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