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Simplifying 10z + -1z = -2 + 7z + -1 + -3 Combine like terms: 10z + -1z = 9z 9z = -2 + 7z + -1 + -3 Reorder the terms: 9z = -2 + -1 + -3 + 7z Combine like terms: -2 + -1 = -3 9z = -3 + -3 + 7z Combine like terms: -3 + -3 = -6 9z = -6 + 7z Solving 9z = -6 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 9z + -7z = -6 + 7z + -7z Combine like terms: 9z + -7z = 2z 2z = -6 + 7z + -7z Combine like terms: 7z + -7z = 0 2z = -6 + 0 2z = -6 Divide each side by '2'. z = -3 Simplifying z = -3
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