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Simplifying 8z + 5z + -2 = 9z + 12 + -3z Reorder the terms: -2 + 8z + 5z = 9z + 12 + -3z Combine like terms: 8z + 5z = 13z -2 + 13z = 9z + 12 + -3z Reorder the terms: -2 + 13z = 12 + 9z + -3z Combine like terms: 9z + -3z = 6z -2 + 13z = 12 + 6z Solving -2 + 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. -2 + 13z + -6z = 12 + 6z + -6z Combine like terms: 13z + -6z = 7z -2 + 7z = 12 + 6z + -6z Combine like terms: 6z + -6z = 0 -2 + 7z = 12 + 0 -2 + 7z = 12 Add '2' to each side of the equation. -2 + 2 + 7z = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7z = 12 + 2 7z = 12 + 2 Combine like terms: 12 + 2 = 14 7z = 14 Divide each side by '7'. z = 2 Simplifying z = 2
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