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Simplifying 9z + -52 = 2z + 45 Reorder the terms: -52 + 9z = 2z + 45 Reorder the terms: -52 + 9z = 45 + 2z Solving -52 + 9z = 45 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -52 + 9z + -2z = 45 + 2z + -2z Combine like terms: 9z + -2z = 7z -52 + 7z = 45 + 2z + -2z Combine like terms: 2z + -2z = 0 -52 + 7z = 45 + 0 -52 + 7z = 45 Add '52' to each side of the equation. -52 + 52 + 7z = 45 + 52 Combine like terms: -52 + 52 = 0 0 + 7z = 45 + 52 7z = 45 + 52 Combine like terms: 45 + 52 = 97 7z = 97 Divide each side by '7'. z = 13.85714286 Simplifying z = 13.85714286
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