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Simplifying 8z + 16 = 7z + 11 Reorder the terms: 16 + 8z = 7z + 11 Reorder the terms: 16 + 8z = 11 + 7z Solving 16 + 8z = 11 + 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. 16 + 8z + -7z = 11 + 7z + -7z Combine like terms: 8z + -7z = 1z 16 + 1z = 11 + 7z + -7z Combine like terms: 7z + -7z = 0 16 + 1z = 11 + 0 16 + 1z = 11 Add '-16' to each side of the equation. 16 + -16 + 1z = 11 + -16 Combine like terms: 16 + -16 = 0 0 + 1z = 11 + -16 1z = 11 + -16 Combine like terms: 11 + -16 = -5 1z = -5 Divide each side by '1'. z = -5 Simplifying z = -5
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