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Simplifying 3(z + 8) = -2z + -4 Reorder the terms: 3(8 + z) = -2z + -4 (8 * 3 + z * 3) = -2z + -4 (24 + 3z) = -2z + -4 Reorder the terms: 24 + 3z = -4 + -2z Solving 24 + 3z = -4 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 24 + 3z + 2z = -4 + -2z + 2z Combine like terms: 3z + 2z = 5z 24 + 5z = -4 + -2z + 2z Combine like terms: -2z + 2z = 0 24 + 5z = -4 + 0 24 + 5z = -4 Add '-24' to each side of the equation. 24 + -24 + 5z = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 5z = -4 + -24 5z = -4 + -24 Combine like terms: -4 + -24 = -28 5z = -28 Divide each side by '5'. z = -5.6 Simplifying z = -5.6
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