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Simplifying -1z + 6z = 7z + -3 + 7z Combine like terms: -1z + 6z = 5z 5z = 7z + -3 + 7z Reorder the terms: 5z = -3 + 7z + 7z Combine like terms: 7z + 7z = 14z 5z = -3 + 14z Solving 5z = -3 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 5z + -14z = -3 + 14z + -14z Combine like terms: 5z + -14z = -9z -9z = -3 + 14z + -14z Combine like terms: 14z + -14z = 0 -9z = -3 + 0 -9z = -3 Divide each side by '-9'. z = 0.3333333333 Simplifying z = 0.3333333333
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