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Simplifying (3z + 9)(-2) = 0 Reorder the terms: (9 + 3z)(-2) = 0 Reorder the terms for easier multiplication: -2(9 + 3z) = 0 (9 * -2 + 3z * -2) = 0 (-18 + -6z) = 0 Solving -18 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -6z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -6z = 0 + 18 -6z = 0 + 18 Combine like terms: 0 + 18 = 18 -6z = 18 Divide each side by '-6'. z = -3 Simplifying z = -3
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