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Simplifying 6z + -2z = 7z + 3 + 5z Combine like terms: 6z + -2z = 4z 4z = 7z + 3 + 5z Reorder the terms: 4z = 3 + 7z + 5z Combine like terms: 7z + 5z = 12z 4z = 3 + 12z Solving 4z = 3 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 4z + -12z = 3 + 12z + -12z Combine like terms: 4z + -12z = -8z -8z = 3 + 12z + -12z Combine like terms: 12z + -12z = 0 -8z = 3 + 0 -8z = 3 Divide each side by '-8'. z = -0.375 Simplifying z = -0.375
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