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Simplifying 8z + 9 + -2z + 6 = 0 Reorder the terms: 9 + 6 + 8z + -2z = 0 Combine like terms: 9 + 6 = 15 15 + 8z + -2z = 0 Combine like terms: 8z + -2z = 6z 15 + 6z = 0 Solving 15 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 6z = 0 + -15 6z = 0 + -15 Combine like terms: 0 + -15 = -15 6z = -15 Divide each side by '6'. z = -2.5 Simplifying z = -2.5
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