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Simplifying 10z + -1z = -1 + 2z + -1 + -12 Combine like terms: 10z + -1z = 9z 9z = -1 + 2z + -1 + -12 Reorder the terms: 9z = -1 + -1 + -12 + 2z Combine like terms: -1 + -1 = -2 9z = -2 + -12 + 2z Combine like terms: -2 + -12 = -14 9z = -14 + 2z Solving 9z = -14 + 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. 9z + -2z = -14 + 2z + -2z Combine like terms: 9z + -2z = 7z 7z = -14 + 2z + -2z Combine like terms: 2z + -2z = 0 7z = -14 + 0 7z = -14 Divide each side by '7'. z = -2 Simplifying z = -2
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