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Simplifying 10z + -1z = -3 + 3z + -3 + -6 Combine like terms: 10z + -1z = 9z 9z = -3 + 3z + -3 + -6 Reorder the terms: 9z = -3 + -3 + -6 + 3z Combine like terms: -3 + -3 = -6 9z = -6 + -6 + 3z Combine like terms: -6 + -6 = -12 9z = -12 + 3z Solving 9z = -12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 9z + -3z = -12 + 3z + -3z Combine like terms: 9z + -3z = 6z 6z = -12 + 3z + -3z Combine like terms: 3z + -3z = 0 6z = -12 + 0 6z = -12 Divide each side by '6'. z = -2 Simplifying z = -2
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