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Simplifying 6(4z + -6z + 3) = 0 Reorder the terms: 6(3 + 4z + -6z) = 0 Combine like terms: 4z + -6z = -2z 6(3 + -2z) = 0 (3 * 6 + -2z * 6) = 0 (18 + -12z) = 0 Solving 18 + -12z = 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 + -12z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -12z = 0 + -18 -12z = 0 + -18 Combine like terms: 0 + -18 = -18 -12z = -18 Divide each side by '-12'. z = 1.5 Simplifying z = 1.5
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