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Simplifying 5z + 7z = 2z + -4 + -1z Combine like terms: 5z + 7z = 12z 12z = 2z + -4 + -1z Reorder the terms: 12z = -4 + 2z + -1z Combine like terms: 2z + -1z = 1z 12z = -4 + 1z Solving 12z = -4 + 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. 12z + -1z = -4 + 1z + -1z Combine like terms: 12z + -1z = 11z 11z = -4 + 1z + -1z Combine like terms: 1z + -1z = 0 11z = -4 + 0 11z = -4 Divide each side by '11'. z = -0.3636363636 Simplifying z = -0.3636363636
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