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Simplifying -4z + 6z = 6z + -2 + -7z Combine like terms: -4z + 6z = 2z 2z = 6z + -2 + -7z Reorder the terms: 2z = -2 + 6z + -7z Combine like terms: 6z + -7z = -1z 2z = -2 + -1z Solving 2z = -2 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 2z + z = -2 + -1z + z Combine like terms: 2z + z = 3z 3z = -2 + -1z + z Combine like terms: -1z + z = 0 3z = -2 + 0 3z = -2 Divide each side by '3'. z = -0.6666666667 Simplifying z = -0.6666666667
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