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Simplifying 3z + -2z = 4z + -1 + -7z Combine like terms: 3z + -2z = 1z 1z = 4z + -1 + -7z Reorder the terms: 1z = -1 + 4z + -7z Combine like terms: 4z + -7z = -3z 1z = -1 + -3z Solving 1z = -1 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 1z + 3z = -1 + -3z + 3z Combine like terms: 1z + 3z = 4z 4z = -1 + -3z + 3z Combine like terms: -3z + 3z = 0 4z = -1 + 0 4z = -1 Divide each side by '4'. z = -0.25 Simplifying z = -0.25
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