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Simplifying 7z + 8 = 5z + 13 Reorder the terms: 8 + 7z = 5z + 13 Reorder the terms: 8 + 7z = 13 + 5z Solving 8 + 7z = 13 + 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. 8 + 7z + -5z = 13 + 5z + -5z Combine like terms: 7z + -5z = 2z 8 + 2z = 13 + 5z + -5z Combine like terms: 5z + -5z = 0 8 + 2z = 13 + 0 8 + 2z = 13 Add '-8' to each side of the equation. 8 + -8 + 2z = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 13 + -8 2z = 13 + -8 Combine like terms: 13 + -8 = 5 2z = 5 Divide each side by '2'. z = 2.5 Simplifying z = 2.5
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