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Simplifying 6z + 2(9 + -1z) = 0 6z + (9 * 2 + -1z * 2) = 0 6z + (18 + -2z) = 0 Reorder the terms: 18 + 6z + -2z = 0 Combine like terms: 6z + -2z = 4z 18 + 4z = 0 Solving 18 + 4z = 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 + 4z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 4z = 0 + -18 4z = 0 + -18 Combine like terms: 0 + -18 = -18 4z = -18 Divide each side by '4'. z = -4.5 Simplifying z = -4.5
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