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Simplifying 10z + 5 = 7z + -9 Reorder the terms: 5 + 10z = 7z + -9 Reorder the terms: 5 + 10z = -9 + 7z Solving 5 + 10z = -9 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 5 + 10z + -7z = -9 + 7z + -7z Combine like terms: 10z + -7z = 3z 5 + 3z = -9 + 7z + -7z Combine like terms: 7z + -7z = 0 5 + 3z = -9 + 0 5 + 3z = -9 Add '-5' to each side of the equation. 5 + -5 + 3z = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 3z = -9 + -5 3z = -9 + -5 Combine like terms: -9 + -5 = -14 3z = -14 Divide each side by '3'. z = -4.666666667 Simplifying z = -4.666666667
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