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Simplifying 13z + -9 = 6z + 12 Reorder the terms: -9 + 13z = 6z + 12 Reorder the terms: -9 + 13z = 12 + 6z Solving -9 + 13z = 12 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -9 + 13z + -6z = 12 + 6z + -6z Combine like terms: 13z + -6z = 7z -9 + 7z = 12 + 6z + -6z Combine like terms: 6z + -6z = 0 -9 + 7z = 12 + 0 -9 + 7z = 12 Add '9' to each side of the equation. -9 + 9 + 7z = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 7z = 12 + 9 7z = 12 + 9 Combine like terms: 12 + 9 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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