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Simplifying 6z + -2z = -5z + 7 + 2z Combine like terms: 6z + -2z = 4z 4z = -5z + 7 + 2z Reorder the terms: 4z = 7 + -5z + 2z Combine like terms: -5z + 2z = -3z 4z = 7 + -3z Solving 4z = 7 + -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. 4z + 3z = 7 + -3z + 3z Combine like terms: 4z + 3z = 7z 7z = 7 + -3z + 3z Combine like terms: -3z + 3z = 0 7z = 7 + 0 7z = 7 Divide each side by '7'. z = 1 Simplifying z = 1
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