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Simplifying 8z + 50 = z + 85 Reorder the terms: 50 + 8z = z + 85 Reorder the terms: 50 + 8z = 85 + z Solving 50 + 8z = 85 + 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. 50 + 8z + -1z = 85 + z + -1z Combine like terms: 8z + -1z = 7z 50 + 7z = 85 + z + -1z Combine like terms: z + -1z = 0 50 + 7z = 85 + 0 50 + 7z = 85 Add '-50' to each side of the equation. 50 + -50 + 7z = 85 + -50 Combine like terms: 50 + -50 = 0 0 + 7z = 85 + -50 7z = 85 + -50 Combine like terms: 85 + -50 = 35 7z = 35 Divide each side by '7'. z = 5 Simplifying z = 5
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