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Simplifying -3(8 + -5z) + 6z = 0 (8 * -3 + -5z * -3) + 6z = 0 (-24 + 15z) + 6z = 0 Combine like terms: 15z + 6z = 21z -24 + 21z = 0 Solving -24 + 21z = 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 + 21z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 21z = 0 + 24 21z = 0 + 24 Combine like terms: 0 + 24 = 24 21z = 24 Divide each side by '21'. z = 1.142857143 Simplifying z = 1.142857143
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