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Simplifying 8 = 2(10 + -1z) 8 = (10 * 2 + -1z * 2) 8 = (20 + -2z) Solving 8 = 20 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 8 + 2z = 20 + -2z + 2z Combine like terms: -2z + 2z = 0 8 + 2z = 20 + 0 8 + 2z = 20 Add '-8' to each side of the equation. 8 + -8 + 2z = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 20 + -8 2z = 20 + -8 Combine like terms: 20 + -8 = 12 2z = 12 Divide each side by '2'. z = 6 Simplifying z = 6
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