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Simplifying -2z + -6z = 3z + -6 + z Combine like terms: -2z + -6z = -8z -8z = 3z + -6 + z Reorder the terms: -8z = -6 + 3z + z Combine like terms: 3z + z = 4z -8z = -6 + 4z Solving -8z = -6 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -8z + -4z = -6 + 4z + -4z Combine like terms: -8z + -4z = -12z -12z = -6 + 4z + -4z Combine like terms: 4z + -4z = 0 -12z = -6 + 0 -12z = -6 Divide each side by '-12'. z = 0.5 Simplifying z = 0.5
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