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Simplifying -6z + 5z = 7z + -3 + 3z Combine like terms: -6z + 5z = -1z -1z = 7z + -3 + 3z Reorder the terms: -1z = -3 + 7z + 3z Combine like terms: 7z + 3z = 10z -1z = -3 + 10z Solving -1z = -3 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -1z + -10z = -3 + 10z + -10z Combine like terms: -1z + -10z = -11z -11z = -3 + 10z + -10z Combine like terms: 10z + -10z = 0 -11z = -3 + 0 -11z = -3 Divide each side by '-11'. z = 0.2727272727 Simplifying z = 0.2727272727
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