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Simplifying 9 + 6z + -7 = 7z + 11 + -2z Reorder the terms: 9 + -7 + 6z = 7z + 11 + -2z Combine like terms: 9 + -7 = 2 2 + 6z = 7z + 11 + -2z Reorder the terms: 2 + 6z = 11 + 7z + -2z Combine like terms: 7z + -2z = 5z 2 + 6z = 11 + 5z Solving 2 + 6z = 11 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + 6z + -5z = 11 + 5z + -5z Combine like terms: 6z + -5z = 1z 2 + 1z = 11 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + 1z = 11 + 0 2 + 1z = 11 Add '-2' to each side of the equation. 2 + -2 + 1z = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 11 + -2 1z = 11 + -2 Combine like terms: 11 + -2 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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