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Simplifying 4z + -3(9z + -2) = 0 Reorder the terms: 4z + -3(-2 + 9z) = 0 4z + (-2 * -3 + 9z * -3) = 0 4z + (6 + -27z) = 0 Reorder the terms: 6 + 4z + -27z = 0 Combine like terms: 4z + -27z = -23z 6 + -23z = 0 Solving 6 + -23z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -23z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -23z = 0 + -6 -23z = 0 + -6 Combine like terms: 0 + -6 = -6 -23z = -6 Divide each side by '-23'. z = 0.2608695652 Simplifying z = 0.2608695652
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