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Simplifying 6(-5 + 4z) + 8z = 0 (-5 * 6 + 4z * 6) + 8z = 0 (-30 + 24z) + 8z = 0 Combine like terms: 24z + 8z = 32z -30 + 32z = 0 Solving -30 + 32z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 32z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 32z = 0 + 30 32z = 0 + 30 Combine like terms: 0 + 30 = 30 32z = 30 Divide each side by '32'. z = 0.9375 Simplifying z = 0.9375
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