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Simplifying 8z + -22 = 34 + z Reorder the terms: -22 + 8z = 34 + z Solving -22 + 8z = 34 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -22 + 8z + -1z = 34 + z + -1z Combine like terms: 8z + -1z = 7z -22 + 7z = 34 + z + -1z Combine like terms: z + -1z = 0 -22 + 7z = 34 + 0 -22 + 7z = 34 Add '22' to each side of the equation. -22 + 22 + 7z = 34 + 22 Combine like terms: -22 + 22 = 0 0 + 7z = 34 + 22 7z = 34 + 22 Combine like terms: 34 + 22 = 56 7z = 56 Divide each side by '7'. z = 8 Simplifying z = 8
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