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