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Simplifying 4z + -1z = 8z + -2 + -7z Combine like terms: 4z + -1z = 3z 3z = 8z + -2 + -7z Reorder the terms: 3z = -2 + 8z + -7z Combine like terms: 8z + -7z = 1z 3z = -2 + 1z Solving 3z = -2 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 3z + -1z = -2 + 1z + -1z Combine like terms: 3z + -1z = 2z 2z = -2 + 1z + -1z Combine like terms: 1z + -1z = 0 2z = -2 + 0 2z = -2 Divide each side by '2'. z = -1 Simplifying z = -1
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