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Simplifying 7z + 27 = 8z + -8 Reorder the terms: 27 + 7z = 8z + -8 Reorder the terms: 27 + 7z = -8 + 8z Solving 27 + 7z = -8 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 27 + 7z + -8z = -8 + 8z + -8z Combine like terms: 7z + -8z = -1z 27 + -1z = -8 + 8z + -8z Combine like terms: 8z + -8z = 0 27 + -1z = -8 + 0 27 + -1z = -8 Add '-27' to each side of the equation. 27 + -27 + -1z = -8 + -27 Combine like terms: 27 + -27 = 0 0 + -1z = -8 + -27 -1z = -8 + -27 Combine like terms: -8 + -27 = -35 -1z = -35 Divide each side by '-1'. z = 35 Simplifying z = 35
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