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Simplifying 3(4z + 2) = -3z + -24 Reorder the terms: 3(2 + 4z) = -3z + -24 (2 * 3 + 4z * 3) = -3z + -24 (6 + 12z) = -3z + -24 Reorder the terms: 6 + 12z = -24 + -3z Solving 6 + 12z = -24 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 6 + 12z + 3z = -24 + -3z + 3z Combine like terms: 12z + 3z = 15z 6 + 15z = -24 + -3z + 3z Combine like terms: -3z + 3z = 0 6 + 15z = -24 + 0 6 + 15z = -24 Add '-6' to each side of the equation. 6 + -6 + 15z = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 15z = -24 + -6 15z = -24 + -6 Combine like terms: -24 + -6 = -30 15z = -30 Divide each side by '15'. z = -2 Simplifying z = -2
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