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Simplifying 10z + 7 = 9z + 5 Reorder the terms: 7 + 10z = 9z + 5 Reorder the terms: 7 + 10z = 5 + 9z Solving 7 + 10z = 5 + 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. 7 + 10z + -9z = 5 + 9z + -9z Combine like terms: 10z + -9z = 1z 7 + 1z = 5 + 9z + -9z Combine like terms: 9z + -9z = 0 7 + 1z = 5 + 0 7 + 1z = 5 Add '-7' to each side of the equation. 7 + -7 + 1z = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 5 + -7 1z = 5 + -7 Combine like terms: 5 + -7 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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