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Simplifying -8 + 8z + 6 + -3z = 0 Reorder the terms: -8 + 6 + 8z + -3z = 0 Combine like terms: -8 + 6 = -2 -2 + 8z + -3z = 0 Combine like terms: 8z + -3z = 5z -2 + 5z = 0 Solving -2 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5z = 0 + 2 5z = 0 + 2 Combine like terms: 0 + 2 = 2 5z = 2 Divide each side by '5'. z = 0.4 Simplifying z = 0.4
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