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Simplifying 5z + -92 = 4z + -52 Reorder the terms: -92 + 5z = 4z + -52 Reorder the terms: -92 + 5z = -52 + 4z Solving -92 + 5z = -52 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -92 + 5z + -4z = -52 + 4z + -4z Combine like terms: 5z + -4z = 1z -92 + 1z = -52 + 4z + -4z Combine like terms: 4z + -4z = 0 -92 + 1z = -52 + 0 -92 + 1z = -52 Add '92' to each side of the equation. -92 + 92 + 1z = -52 + 92 Combine like terms: -92 + 92 = 0 0 + 1z = -52 + 92 1z = -52 + 92 Combine like terms: -52 + 92 = 40 1z = 40 Divide each side by '1'. z = 40 Simplifying z = 40
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