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Simplifying 8z + -23 = 51 + z Reorder the terms: -23 + 8z = 51 + z Solving -23 + 8z = 51 + 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. -23 + 8z + -1z = 51 + z + -1z Combine like terms: 8z + -1z = 7z -23 + 7z = 51 + z + -1z Combine like terms: z + -1z = 0 -23 + 7z = 51 + 0 -23 + 7z = 51 Add '23' to each side of the equation. -23 + 23 + 7z = 51 + 23 Combine like terms: -23 + 23 = 0 0 + 7z = 51 + 23 7z = 51 + 23 Combine like terms: 51 + 23 = 74 7z = 74 Divide each side by '7'. z = 10.57142857 Simplifying z = 10.57142857
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