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Simplifying 7 + 11z = 97 + -7z Solving 7 + 11z = 97 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 7 + 11z + 7z = 97 + -7z + 7z Combine like terms: 11z + 7z = 18z 7 + 18z = 97 + -7z + 7z Combine like terms: -7z + 7z = 0 7 + 18z = 97 + 0 7 + 18z = 97 Add '-7' to each side of the equation. 7 + -7 + 18z = 97 + -7 Combine like terms: 7 + -7 = 0 0 + 18z = 97 + -7 18z = 97 + -7 Combine like terms: 97 + -7 = 90 18z = 90 Divide each side by '18'. z = 5 Simplifying z = 5
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