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Simplifying 4(z + 8) = -12 Reorder the terms: 4(8 + z) = -12 (8 * 4 + z * 4) = -12 (32 + 4z) = -12 Solving 32 + 4z = -12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4z = -12 + -32 Combine like terms: 32 + -32 = 0 0 + 4z = -12 + -32 4z = -12 + -32 Combine like terms: -12 + -32 = -44 4z = -44 Divide each side by '4'. z = -11 Simplifying z = -11
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