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Simplifying 2z + -7z = 5z + 6 + z Combine like terms: 2z + -7z = -5z -5z = 5z + 6 + z Reorder the terms: -5z = 6 + 5z + z Combine like terms: 5z + z = 6z -5z = 6 + 6z Solving -5z = 6 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -5z + -6z = 6 + 6z + -6z Combine like terms: -5z + -6z = -11z -11z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 -11z = 6 + 0 -11z = 6 Divide each side by '-11'. z = -0.5454545455 Simplifying z = -0.5454545455
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