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Simplifying -6z + 7z = z + -5 + -6z Combine like terms: -6z + 7z = 1z 1z = z + -5 + -6z Reorder the terms: 1z = -5 + z + -6z Combine like terms: z + -6z = -5z 1z = -5 + -5z Solving 1z = -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. 1z + 5z = -5 + -5z + 5z Combine like terms: 1z + 5z = 6z 6z = -5 + -5z + 5z Combine like terms: -5z + 5z = 0 6z = -5 + 0 6z = -5 Divide each side by '6'. z = -0.8333333333 Simplifying z = -0.8333333333
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