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Simplifying 4z + 8z + 9z + -6 = 0 Reorder the terms: -6 + 4z + 8z + 9z = 0 Combine like terms: 4z + 8z = 12z -6 + 12z + 9z = 0 Combine like terms: 12z + 9z = 21z -6 + 21z = 0 Solving -6 + 21z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 21z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 21z = 0 + 6 21z = 0 + 6 Combine like terms: 0 + 6 = 6 21z = 6 Divide each side by '21'. z = 0.2857142857 Simplifying z = 0.2857142857
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