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Simplifying 6 + 10z + -3 = 6z + 24 + -3z Reorder the terms: 6 + -3 + 10z = 6z + 24 + -3z Combine like terms: 6 + -3 = 3 3 + 10z = 6z + 24 + -3z Reorder the terms: 3 + 10z = 24 + 6z + -3z Combine like terms: 6z + -3z = 3z 3 + 10z = 24 + 3z Solving 3 + 10z = 24 + 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. 3 + 10z + -3z = 24 + 3z + -3z Combine like terms: 10z + -3z = 7z 3 + 7z = 24 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 7z = 24 + 0 3 + 7z = 24 Add '-3' to each side of the equation. 3 + -3 + 7z = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 7z = 24 + -3 7z = 24 + -3 Combine like terms: 24 + -3 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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