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Simplifying 13z + -6 = 7z + 9 Reorder the terms: -6 + 13z = 7z + 9 Reorder the terms: -6 + 13z = 9 + 7z Solving -6 + 13z = 9 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -6 + 13z + -7z = 9 + 7z + -7z Combine like terms: 13z + -7z = 6z -6 + 6z = 9 + 7z + -7z Combine like terms: 7z + -7z = 0 -6 + 6z = 9 + 0 -6 + 6z = 9 Add '6' to each side of the equation. -6 + 6 + 6z = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 6z = 9 + 6 6z = 9 + 6 Combine like terms: 9 + 6 = 15 6z = 15 Divide each side by '6'. z = 2.5 Simplifying z = 2.5
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