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Simplifying 4(6 + -1z) + 7z = 0 (6 * 4 + -1z * 4) + 7z = 0 (24 + -4z) + 7z = 0 Combine like terms: -4z + 7z = 3z 24 + 3z = 0 Solving 24 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 3z = 0 + -24 3z = 0 + -24 Combine like terms: 0 + -24 = -24 3z = -24 Divide each side by '3'. z = -8 Simplifying z = -8
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