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Simplifying -4(z + 6) = 12 Reorder the terms: -4(6 + z) = 12 (6 * -4 + z * -4) = 12 (-24 + -4z) = 12 Solving -24 + -4z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -4z = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -4z = 12 + 24 -4z = 12 + 24 Combine like terms: 12 + 24 = 36 -4z = 36 Divide each side by '-4'. z = -9 Simplifying z = -9
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