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Simplifying -6z + -4(3 + -5z) = 0 -6z + (3 * -4 + -5z * -4) = 0 -6z + (-12 + 20z) = 0 Reorder the terms: -12 + -6z + 20z = 0 Combine like terms: -6z + 20z = 14z -12 + 14z = 0 Solving -12 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 14z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 14z = 0 + 12 14z = 0 + 12 Combine like terms: 0 + 12 = 12 14z = 12 Divide each side by '14'. z = 0.8571428571 Simplifying z = 0.8571428571
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