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Simplifying 7z + 1 = 10 + -3z Reorder the terms: 1 + 7z = 10 + -3z Solving 1 + 7z = 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. 1 + 7z + 3z = 10 + -3z + 3z Combine like terms: 7z + 3z = 10z 1 + 10z = 10 + -3z + 3z Combine like terms: -3z + 3z = 0 1 + 10z = 10 + 0 1 + 10z = 10 Add '-1' to each side of the equation. 1 + -1 + 10z = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 10z = 10 + -1 10z = 10 + -1 Combine like terms: 10 + -1 = 9 10z = 9 Divide each side by '10'. z = 0.9 Simplifying z = 0.9
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