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Simplifying -1z + -6z = 7z + 9 + -5z Combine like terms: -1z + -6z = -7z -7z = 7z + 9 + -5z Reorder the terms: -7z = 9 + 7z + -5z Combine like terms: 7z + -5z = 2z -7z = 9 + 2z Solving -7z = 9 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -7z + -2z = 9 + 2z + -2z Combine like terms: -7z + -2z = -9z -9z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 -9z = 9 + 0 -9z = 9 Divide each side by '-9'. z = -1 Simplifying z = -1
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