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Simplifying -34 = 7z + 22 Reorder the terms: -34 = 22 + 7z Solving -34 = 22 + 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. -34 + -7z = 22 + 7z + -7z Combine like terms: 7z + -7z = 0 -34 + -7z = 22 + 0 -34 + -7z = 22 Add '34' to each side of the equation. -34 + 34 + -7z = 22 + 34 Combine like terms: -34 + 34 = 0 0 + -7z = 22 + 34 -7z = 22 + 34 Combine like terms: 22 + 34 = 56 -7z = 56 Divide each side by '-7'. z = -8 Simplifying z = -8
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