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Simplifying 3(4z + -8) + -2 = 0 Reorder the terms: 3(-8 + 4z) + -2 = 0 (-8 * 3 + 4z * 3) + -2 = 0 (-24 + 12z) + -2 = 0 Reorder the terms: -24 + -2 + 12z = 0 Combine like terms: -24 + -2 = -26 -26 + 12z = 0 Solving -26 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 12z = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 12z = 0 + 26 12z = 0 + 26 Combine like terms: 0 + 26 = 26 12z = 26 Divide each side by '12'. z = 2.166666667 Simplifying z = 2.166666667
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