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Simplifying 6 + 24z + -4(2 + -12z + 10z) = 0 Combine like terms: -12z + 10z = -2z 6 + 24z + -4(2 + -2z) = 0 6 + 24z + (2 * -4 + -2z * -4) = 0 6 + 24z + (-8 + 8z) = 0 Reorder the terms: 6 + -8 + 24z + 8z = 0 Combine like terms: 6 + -8 = -2 -2 + 24z + 8z = 0 Combine like terms: 24z + 8z = 32z -2 + 32z = 0 Solving -2 + 32z = 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 + 32z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 32z = 0 + 2 32z = 0 + 2 Combine like terms: 0 + 2 = 2 32z = 2 Divide each side by '32'. z = 0.0625 Simplifying z = 0.0625
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