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Simplifying 2 + 3z + -9z = 5z + 5 Combine like terms: 3z + -9z = -6z 2 + -6z = 5z + 5 Reorder the terms: 2 + -6z = 5 + 5z Solving 2 + -6z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + -6z + -5z = 5 + 5z + -5z Combine like terms: -6z + -5z = -11z 2 + -11z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + -11z = 5 + 0 2 + -11z = 5 Add '-2' to each side of the equation. 2 + -2 + -11z = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -11z = 5 + -2 -11z = 5 + -2 Combine like terms: 5 + -2 = 3 -11z = 3 Divide each side by '-11'. z = -0.2727272727 Simplifying z = -0.2727272727
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