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Simplifying 2(6 + -4z) = 0 (6 * 2 + -4z * 2) = 0 (12 + -8z) = 0 Solving 12 + -8z = 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 + -8z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8z = 0 + -12 -8z = 0 + -12 Combine like terms: 0 + -12 = -12 -8z = -12 Divide each side by '-8'. z = 1.5 Simplifying z = 1.5
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