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Simplifying 10z + 2 = 10 + 3z Reorder the terms: 2 + 10z = 10 + 3z Solving 2 + 10z = 10 + 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. 2 + 10z + -3z = 10 + 3z + -3z Combine like terms: 10z + -3z = 7z 2 + 7z = 10 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 7z = 10 + 0 2 + 7z = 10 Add '-2' to each side of the equation. 2 + -2 + 7z = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 7z = 10 + -2 7z = 10 + -2 Combine like terms: 10 + -2 = 8 7z = 8 Divide each side by '7'. z = 1.142857143 Simplifying z = 1.142857143
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