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Simplifying -6z + 5(3 + -4z) = 0 -6z + (3 * 5 + -4z * 5) = 0 -6z + (15 + -20z) = 0 Reorder the terms: 15 + -6z + -20z = 0 Combine like terms: -6z + -20z = -26z 15 + -26z = 0 Solving 15 + -26z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -26z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -26z = 0 + -15 -26z = 0 + -15 Combine like terms: 0 + -15 = -15 -26z = -15 Divide each side by '-26'. z = 0.5769230769 Simplifying z = 0.5769230769
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