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Simplifying -8z + 7z = -3z + -6 + -9z Combine like terms: -8z + 7z = -1z -1z = -3z + -6 + -9z Reorder the terms: -1z = -6 + -3z + -9z Combine like terms: -3z + -9z = -12z -1z = -6 + -12z Solving -1z = -6 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -1z + 12z = -6 + -12z + 12z Combine like terms: -1z + 12z = 11z 11z = -6 + -12z + 12z Combine like terms: -12z + 12z = 0 11z = -6 + 0 11z = -6 Divide each side by '11'. z = -0.5454545455 Simplifying z = -0.5454545455
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