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Simplifying 7z + 11 = -1z + 11 Reorder the terms: 11 + 7z = -1z + 11 Reorder the terms: 11 + 7z = 11 + -1z Add '-11' to each side of the equation. 11 + -11 + 7z = 11 + -11 + -1z Combine like terms: 11 + -11 = 0 0 + 7z = 11 + -11 + -1z 7z = 11 + -11 + -1z Combine like terms: 11 + -11 = 0 7z = 0 + -1z 7z = -1z Solving 7z = -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 7z + z = -1z + z Combine like terms: 7z + z = 8z 8z = -1z + z Combine like terms: -1z + z = 0 8z = 0 Divide each side by '8'. z = 0 Simplifying z = 0
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