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Simplifying -8 + 7z = 3 + -6z Solving -8 + 7z = 3 + -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. -8 + 7z + 6z = 3 + -6z + 6z Combine like terms: 7z + 6z = 13z -8 + 13z = 3 + -6z + 6z Combine like terms: -6z + 6z = 0 -8 + 13z = 3 + 0 -8 + 13z = 3 Add '8' to each side of the equation. -8 + 8 + 13z = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 13z = 3 + 8 13z = 3 + 8 Combine like terms: 3 + 8 = 11 13z = 11 Divide each side by '13'. z = 0.8461538462 Simplifying z = 0.8461538462
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