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Simplifying 6z + 7z = 6z + -2 + 8z Combine like terms: 6z + 7z = 13z 13z = 6z + -2 + 8z Reorder the terms: 13z = -2 + 6z + 8z Combine like terms: 6z + 8z = 14z 13z = -2 + 14z Solving 13z = -2 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 13z + -14z = -2 + 14z + -14z Combine like terms: 13z + -14z = -1z -1z = -2 + 14z + -14z Combine like terms: 14z + -14z = 0 -1z = -2 + 0 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2
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