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Simplifying -7z + 9 = 4z + -2 Reorder the terms: 9 + -7z = 4z + -2 Reorder the terms: 9 + -7z = -2 + 4z Solving 9 + -7z = -2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 9 + -7z + -4z = -2 + 4z + -4z Combine like terms: -7z + -4z = -11z 9 + -11z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 9 + -11z = -2 + 0 9 + -11z = -2 Add '-9' to each side of the equation. 9 + -9 + -11z = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -11z = -2 + -9 -11z = -2 + -9 Combine like terms: -2 + -9 = -11 -11z = -11 Divide each side by '-11'. z = 1 Simplifying z = 1
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