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Simplifying 12(7 + 3z) = 0 (7 * 12 + 3z * 12) = 0 (84 + 36z) = 0 Solving 84 + 36z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 36z = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 36z = 0 + -84 36z = 0 + -84 Combine like terms: 0 + -84 = -84 36z = -84 Divide each side by '36'. z = -2.333333333 Simplifying z = -2.333333333
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