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Simplifying 11 + -7z = 42 + -14z Solving 11 + -7z = 42 + -14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14z' to each side of the equation. 11 + -7z + 14z = 42 + -14z + 14z Combine like terms: -7z + 14z = 7z 11 + 7z = 42 + -14z + 14z Combine like terms: -14z + 14z = 0 11 + 7z = 42 + 0 11 + 7z = 42 Add '-11' to each side of the equation. 11 + -11 + 7z = 42 + -11 Combine like terms: 11 + -11 = 0 0 + 7z = 42 + -11 7z = 42 + -11 Combine like terms: 42 + -11 = 31 7z = 31 Divide each side by '7'. z = 4.428571429 Simplifying z = 4.428571429
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