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Simplifying (3z + -2)(8 + -2) = 0 Reorder the terms: (-2 + 3z)(8 + -2) = 0 Combine like terms: 8 + -2 = 6 (-2 + 3z)(6) = 0 Reorder the terms for easier multiplication: 6(-2 + 3z) = 0 (-2 * 6 + 3z * 6) = 0 (-12 + 18z) = 0 Solving -12 + 18z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 18z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 18z = 0 + 12 18z = 0 + 12 Combine like terms: 0 + 12 = 12 18z = 12 Divide each side by '18'. z = 0.6666666667 Simplifying z = 0.6666666667
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