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Simplifying 7z = z + 26 + 8z + -48 Reorder the terms: 7z = 26 + -48 + z + 8z Combine like terms: 26 + -48 = -22 7z = -22 + z + 8z Combine like terms: z + 8z = 9z 7z = -22 + 9z Solving 7z = -22 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 7z + -9z = -22 + 9z + -9z Combine like terms: 7z + -9z = -2z -2z = -22 + 9z + -9z Combine like terms: 9z + -9z = 0 -2z = -22 + 0 -2z = -22 Divide each side by '-2'. z = 11 Simplifying z = 11
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