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Simplifying 2z + 6z = 5z + -1 + -2z Combine like terms: 2z + 6z = 8z 8z = 5z + -1 + -2z Reorder the terms: 8z = -1 + 5z + -2z Combine like terms: 5z + -2z = 3z 8z = -1 + 3z Solving 8z = -1 + 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. 8z + -3z = -1 + 3z + -3z Combine like terms: 8z + -3z = 5z 5z = -1 + 3z + -3z Combine like terms: 3z + -3z = 0 5z = -1 + 0 5z = -1 Divide each side by '5'. z = -0.2 Simplifying z = -0.2
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