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Simplifying -2(z + 12) = 6 Reorder the terms: -2(12 + z) = 6 (12 * -2 + z * -2) = 6 (-24 + -2z) = 6 Solving -24 + -2z = 6 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 + -2z = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -2z = 6 + 24 -2z = 6 + 24 Combine like terms: 6 + 24 = 30 -2z = 30 Divide each side by '-2'. z = -15 Simplifying z = -15
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