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Simplifying 11 = 18 + 3z + 4z Combine like terms: 3z + 4z = 7z 11 = 18 + 7z Solving 11 = 18 + 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. 11 + -7z = 18 + 7z + -7z Combine like terms: 7z + -7z = 0 11 + -7z = 18 + 0 11 + -7z = 18 Add '-11' to each side of the equation. 11 + -11 + -7z = 18 + -11 Combine like terms: 11 + -11 = 0 0 + -7z = 18 + -11 -7z = 18 + -11 Combine like terms: 18 + -11 = 7 -7z = 7 Divide each side by '-7'. z = -1 Simplifying z = -1
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