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Simplifying -5z + 7(2 + -3z) = 0 -5z + (2 * 7 + -3z * 7) = 0 -5z + (14 + -21z) = 0 Reorder the terms: 14 + -5z + -21z = 0 Combine like terms: -5z + -21z = -26z 14 + -26z = 0 Solving 14 + -26z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -26z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -26z = 0 + -14 -26z = 0 + -14 Combine like terms: 0 + -14 = -14 -26z = -14 Divide each side by '-26'. z = 0.5384615385 Simplifying z = 0.5384615385
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