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Simplifying (3z + -8)(9 + 2) = 0 Reorder the terms: (-8 + 3z)(9 + 2) = 0 Combine like terms: 9 + 2 = 11 (-8 + 3z)(11) = 0 Reorder the terms for easier multiplication: 11(-8 + 3z) = 0 (-8 * 11 + 3z * 11) = 0 (-88 + 33z) = 0 Solving -88 + 33z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + 33z = 0 + 88 Combine like terms: -88 + 88 = 0 0 + 33z = 0 + 88 33z = 0 + 88 Combine like terms: 0 + 88 = 88 33z = 88 Divide each side by '33'. z = 2.666666667 Simplifying z = 2.666666667
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