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Simplifying 9 + 10z + -4 = 9z + 12 + -6z Reorder the terms: 9 + -4 + 10z = 9z + 12 + -6z Combine like terms: 9 + -4 = 5 5 + 10z = 9z + 12 + -6z Reorder the terms: 5 + 10z = 12 + 9z + -6z Combine like terms: 9z + -6z = 3z 5 + 10z = 12 + 3z Solving 5 + 10z = 12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 5 + 10z + -3z = 12 + 3z + -3z Combine like terms: 10z + -3z = 7z 5 + 7z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + 7z = 12 + 0 5 + 7z = 12 Add '-5' to each side of the equation. 5 + -5 + 7z = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 7z = 12 + -5 7z = 12 + -5 Combine like terms: 12 + -5 = 7 7z = 7 Divide each side by '7'. z = 1 Simplifying z = 1
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