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Simplifying 5z + -2z = 3z + -9 + 8z Combine like terms: 5z + -2z = 3z 3z = 3z + -9 + 8z Reorder the terms: 3z = -9 + 3z + 8z Combine like terms: 3z + 8z = 11z 3z = -9 + 11z Solving 3z = -9 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 3z + -11z = -9 + 11z + -11z Combine like terms: 3z + -11z = -8z -8z = -9 + 11z + -11z Combine like terms: 11z + -11z = 0 -8z = -9 + 0 -8z = -9 Divide each side by '-8'. z = 1.125 Simplifying z = 1.125
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