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Simplifying 7z + 16 = 27z + 26 Reorder the terms: 16 + 7z = 27z + 26 Reorder the terms: 16 + 7z = 26 + 27z Solving 16 + 7z = 26 + 27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27z' to each side of the equation. 16 + 7z + -27z = 26 + 27z + -27z Combine like terms: 7z + -27z = -20z 16 + -20z = 26 + 27z + -27z Combine like terms: 27z + -27z = 0 16 + -20z = 26 + 0 16 + -20z = 26 Add '-16' to each side of the equation. 16 + -16 + -20z = 26 + -16 Combine like terms: 16 + -16 = 0 0 + -20z = 26 + -16 -20z = 26 + -16 Combine like terms: 26 + -16 = 10 -20z = 10 Divide each side by '-20'. z = -0.5 Simplifying z = -0.5
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