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Simplifying 4z + -9z = 8z + 2 + 6z Combine like terms: 4z + -9z = -5z -5z = 8z + 2 + 6z Reorder the terms: -5z = 2 + 8z + 6z Combine like terms: 8z + 6z = 14z -5z = 2 + 14z Solving -5z = 2 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. -5z + -14z = 2 + 14z + -14z Combine like terms: -5z + -14z = -19z -19z = 2 + 14z + -14z Combine like terms: 14z + -14z = 0 -19z = 2 + 0 -19z = 2 Divide each side by '-19'. z = -0.1052631579 Simplifying z = -0.1052631579
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