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Simplifying -6(3z + 9) = 0 Reorder the terms: -6(9 + 3z) = 0 (9 * -6 + 3z * -6) = 0 (-54 + -18z) = 0 Solving -54 + -18z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -18z = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -18z = 0 + 54 -18z = 0 + 54 Combine like terms: 0 + 54 = 54 -18z = 54 Divide each side by '-18'. z = -3 Simplifying z = -3
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