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Simplifying 2z + 6z = 8z + 7 + 8z Combine like terms: 2z + 6z = 8z 8z = 8z + 7 + 8z Reorder the terms: 8z = 7 + 8z + 8z Combine like terms: 8z + 8z = 16z 8z = 7 + 16z Solving 8z = 7 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 8z + -16z = 7 + 16z + -16z Combine like terms: 8z + -16z = -8z -8z = 7 + 16z + -16z Combine like terms: 16z + -16z = 0 -8z = 7 + 0 -8z = 7 Divide each side by '-8'. z = -0.875 Simplifying z = -0.875
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