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Simplifying -5z + 7z = 5z + -3 + 8z Combine like terms: -5z + 7z = 2z 2z = 5z + -3 + 8z Reorder the terms: 2z = -3 + 5z + 8z Combine like terms: 5z + 8z = 13z 2z = -3 + 13z Solving 2z = -3 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 2z + -13z = -3 + 13z + -13z Combine like terms: 2z + -13z = -11z -11z = -3 + 13z + -13z Combine like terms: 13z + -13z = 0 -11z = -3 + 0 -11z = -3 Divide each side by '-11'. z = 0.2727272727 Simplifying z = 0.2727272727
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