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Simplifying 3(4z + -8) = 6z + -8 Reorder the terms: 3(-8 + 4z) = 6z + -8 (-8 * 3 + 4z * 3) = 6z + -8 (-24 + 12z) = 6z + -8 Reorder the terms: -24 + 12z = -8 + 6z Solving -24 + 12z = -8 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -24 + 12z + -6z = -8 + 6z + -6z Combine like terms: 12z + -6z = 6z -24 + 6z = -8 + 6z + -6z Combine like terms: 6z + -6z = 0 -24 + 6z = -8 + 0 -24 + 6z = -8 Add '24' to each side of the equation. -24 + 24 + 6z = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 6z = -8 + 24 6z = -8 + 24 Combine like terms: -8 + 24 = 16 6z = 16 Divide each side by '6'. z = 2.666666667 Simplifying z = 2.666666667
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