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Simplifying -4z + 9 = 34 + 7z + -3 Reorder the terms: 9 + -4z = 34 + 7z + -3 Reorder the terms: 9 + -4z = 34 + -3 + 7z Combine like terms: 34 + -3 = 31 9 + -4z = 31 + 7z Solving 9 + -4z = 31 + 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. 9 + -4z + -7z = 31 + 7z + -7z Combine like terms: -4z + -7z = -11z 9 + -11z = 31 + 7z + -7z Combine like terms: 7z + -7z = 0 9 + -11z = 31 + 0 9 + -11z = 31 Add '-9' to each side of the equation. 9 + -9 + -11z = 31 + -9 Combine like terms: 9 + -9 = 0 0 + -11z = 31 + -9 -11z = 31 + -9 Combine like terms: 31 + -9 = 22 -11z = 22 Divide each side by '-11'. z = -2 Simplifying z = -2
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