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Simplifying 10z + 7 = 5z + 9 Reorder the terms: 7 + 10z = 5z + 9 Reorder the terms: 7 + 10z = 9 + 5z Solving 7 + 10z = 9 + 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. 7 + 10z + -5z = 9 + 5z + -5z Combine like terms: 10z + -5z = 5z 7 + 5z = 9 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + 5z = 9 + 0 7 + 5z = 9 Add '-7' to each side of the equation. 7 + -7 + 5z = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 5z = 9 + -7 5z = 9 + -7 Combine like terms: 9 + -7 = 2 5z = 2 Divide each side by '5'. z = 0.4 Simplifying z = 0.4
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