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Simplifying 10z + -14 = 9z + 17 Reorder the terms: -14 + 10z = 9z + 17 Reorder the terms: -14 + 10z = 17 + 9z Solving -14 + 10z = 17 + 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. -14 + 10z + -9z = 17 + 9z + -9z Combine like terms: 10z + -9z = 1z -14 + 1z = 17 + 9z + -9z Combine like terms: 9z + -9z = 0 -14 + 1z = 17 + 0 -14 + 1z = 17 Add '14' to each side of the equation. -14 + 14 + 1z = 17 + 14 Combine like terms: -14 + 14 = 0 0 + 1z = 17 + 14 1z = 17 + 14 Combine like terms: 17 + 14 = 31 1z = 31 Divide each side by '1'. z = 31 Simplifying z = 31
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