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Simplifying -6 + -9z = -14z + 10 Reorder the terms: -6 + -9z = 10 + -14z Solving -6 + -9z = 10 + -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. -6 + -9z + 14z = 10 + -14z + 14z Combine like terms: -9z + 14z = 5z -6 + 5z = 10 + -14z + 14z Combine like terms: -14z + 14z = 0 -6 + 5z = 10 + 0 -6 + 5z = 10 Add '6' to each side of the equation. -6 + 6 + 5z = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = 10 + 6 5z = 10 + 6 Combine like terms: 10 + 6 = 16 5z = 16 Divide each side by '5'. z = 3.2 Simplifying z = 3.2
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