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Simplifying 3(6 + -1z) + 6z = 0 (6 * 3 + -1z * 3) + 6z = 0 (18 + -3z) + 6z = 0 Combine like terms: -3z + 6z = 3z 18 + 3z = 0 Solving 18 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3z = 0 + -18 3z = 0 + -18 Combine like terms: 0 + -18 = -18 3z = -18 Divide each side by '3'. z = -6 Simplifying z = -6
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