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Simplifying -4(6z + 9) = 0 Reorder the terms: -4(9 + 6z) = 0 (9 * -4 + 6z * -4) = 0 (-36 + -24z) = 0 Solving -36 + -24z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -24z = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -24z = 0 + 36 -24z = 0 + 36 Combine like terms: 0 + 36 = 36 -24z = 36 Divide each side by '-24'. z = -1.5 Simplifying z = -1.5
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