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Simplifying z + -7z = 6z + -5 + -1z Combine like terms: z + -7z = -6z -6z = 6z + -5 + -1z Reorder the terms: -6z = -5 + 6z + -1z Combine like terms: 6z + -1z = 5z -6z = -5 + 5z Solving -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. -6z + -5z = -5 + 5z + -5z Combine like terms: -6z + -5z = -11z -11z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 -11z = -5 + 0 -11z = -5 Divide each side by '-11'. z = 0.4545454545 Simplifying z = 0.4545454545
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