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Simplifying 8z + 1 + -52 = 57 + -5z Reorder the terms: 1 + -52 + 8z = 57 + -5z Combine like terms: 1 + -52 = -51 -51 + 8z = 57 + -5z Solving -51 + 8z = 57 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -51 + 8z + 5z = 57 + -5z + 5z Combine like terms: 8z + 5z = 13z -51 + 13z = 57 + -5z + 5z Combine like terms: -5z + 5z = 0 -51 + 13z = 57 + 0 -51 + 13z = 57 Add '51' to each side of the equation. -51 + 51 + 13z = 57 + 51 Combine like terms: -51 + 51 = 0 0 + 13z = 57 + 51 13z = 57 + 51 Combine like terms: 57 + 51 = 108 13z = 108 Divide each side by '13'. z = 8.307692308 Simplifying z = 8.307692308
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