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Simplifying (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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