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Simplifying 14z + 4 = 9z + -6 Reorder the terms: 4 + 14z = 9z + -6 Reorder the terms: 4 + 14z = -6 + 9z Solving 4 + 14z = -6 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 4 + 14z + -9z = -6 + 9z + -9z Combine like terms: 14z + -9z = 5z 4 + 5z = -6 + 9z + -9z Combine like terms: 9z + -9z = 0 4 + 5z = -6 + 0 4 + 5z = -6 Add '-4' to each side of the equation. 4 + -4 + 5z = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 5z = -6 + -4 5z = -6 + -4 Combine like terms: -6 + -4 = -10 5z = -10 Divide each side by '5'. z = -2 Simplifying z = -2
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