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Simplifying 21z = 12(2z + -2) Reorder the terms: 21z = 12(-2 + 2z) 21z = (-2 * 12 + 2z * 12) 21z = (-24 + 24z) Solving 21z = -24 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. 21z + -24z = -24 + 24z + -24z Combine like terms: 21z + -24z = -3z -3z = -24 + 24z + -24z Combine like terms: 24z + -24z = 0 -3z = -24 + 0 -3z = -24 Divide each side by '-3'. z = 8 Simplifying z = 8
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