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Simplifying 10z + 5 = 3z + -6 Reorder the terms: 5 + 10z = 3z + -6 Reorder the terms: 5 + 10z = -6 + 3z Solving 5 + 10z = -6 + 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 = -6 + 3z + -3z Combine like terms: 10z + -3z = 7z 5 + 7z = -6 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + 7z = -6 + 0 5 + 7z = -6 Add '-5' to each side of the equation. 5 + -5 + 7z = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 7z = -6 + -5 7z = -6 + -5 Combine like terms: -6 + -5 = -11 7z = -11 Divide each side by '7'. z = -1.571428571 Simplifying z = -1.571428571
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