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Simplifying 4(6 + -1z) + 6z = 8 (6 * 4 + -1z * 4) + 6z = 8 (24 + -4z) + 6z = 8 Combine like terms: -4z + 6z = 2z 24 + 2z = 8 Solving 24 + 2z = 8 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 + 2z = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 2z = 8 + -24 2z = 8 + -24 Combine like terms: 8 + -24 = -16 2z = -16 Divide each side by '2'. z = -8 Simplifying z = -8
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