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