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Simplifying -2z + 3z = -4z + -8 + 6z Combine like terms: -2z + 3z = 1z 1z = -4z + -8 + 6z Reorder the terms: 1z = -8 + -4z + 6z Combine like terms: -4z + 6z = 2z 1z = -8 + 2z Solving 1z = -8 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1z + -2z = -8 + 2z + -2z Combine like terms: 1z + -2z = -1z -1z = -8 + 2z + -2z Combine like terms: 2z + -2z = 0 -1z = -8 + 0 -1z = -8 Divide each side by '-1'. z = 8 Simplifying z = 8
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