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Simplifying 7z + -89 = 5z + -57 Reorder the terms: -89 + 7z = 5z + -57 Reorder the terms: -89 + 7z = -57 + 5z Solving -89 + 7z = -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. -89 + 7z + -5z = -57 + 5z + -5z Combine like terms: 7z + -5z = 2z -89 + 2z = -57 + 5z + -5z Combine like terms: 5z + -5z = 0 -89 + 2z = -57 + 0 -89 + 2z = -57 Add '89' to each side of the equation. -89 + 89 + 2z = -57 + 89 Combine like terms: -89 + 89 = 0 0 + 2z = -57 + 89 2z = -57 + 89 Combine like terms: -57 + 89 = 32 2z = 32 Divide each side by '2'. z = 16 Simplifying z = 16
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