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Simplifying 4z + -6 = 6 + -10z Reorder the terms: -6 + 4z = 6 + -10z Solving -6 + 4z = 6 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. -6 + 4z + 10z = 6 + -10z + 10z Combine like terms: 4z + 10z = 14z -6 + 14z = 6 + -10z + 10z Combine like terms: -10z + 10z = 0 -6 + 14z = 6 + 0 -6 + 14z = 6 Add '6' to each side of the equation. -6 + 6 + 14z = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 14z = 6 + 6 14z = 6 + 6 Combine like terms: 6 + 6 = 12 14z = 12 Divide each side by '14'. z = 0.8571428571 Simplifying z = 0.8571428571
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