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Simplifying 3(2z + 8) = -6z Reorder the terms: 3(8 + 2z) = -6z (8 * 3 + 2z * 3) = -6z (24 + 6z) = -6z Solving 24 + 6z = -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 + 6z + 6z = -6z + 6z Combine like terms: 6z + 6z = 12z 24 + 12z = -6z + 6z Combine like terms: -6z + 6z = 0 24 + 12z = 0 Add '-24' to each side of the equation. 24 + -24 + 12z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12z = 0 + -24 12z = 0 + -24 Combine like terms: 0 + -24 = -24 12z = -24 Divide each side by '12'. z = -2 Simplifying z = -2
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