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Simplifying -3(2z + -8) + 10z = 6 Reorder the terms: -3(-8 + 2z) + 10z = 6 (-8 * -3 + 2z * -3) + 10z = 6 (24 + -6z) + 10z = 6 Combine like terms: -6z + 10z = 4z 24 + 4z = 6 Solving 24 + 4z = 6 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 + 4z = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 4z = 6 + -24 4z = 6 + -24 Combine like terms: 6 + -24 = -18 4z = -18 Divide each side by '4'. z = -4.5 Simplifying z = -4.5
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