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Simplifying -4z + 7z = -7z + -3 + 2z Combine like terms: -4z + 7z = 3z 3z = -7z + -3 + 2z Reorder the terms: 3z = -3 + -7z + 2z Combine like terms: -7z + 2z = -5z 3z = -3 + -5z Solving 3z = -3 + -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. 3z + 5z = -3 + -5z + 5z Combine like terms: 3z + 5z = 8z 8z = -3 + -5z + 5z Combine like terms: -5z + 5z = 0 8z = -3 + 0 8z = -3 Divide each side by '8'. z = -0.375 Simplifying z = -0.375
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