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Simplifying 2(z + -12) + 2z = 0 Reorder the terms: 2(-12 + z) + 2z = 0 (-12 * 2 + z * 2) + 2z = 0 (-24 + 2z) + 2z = 0 Combine like terms: 2z + 2z = 4z -24 + 4z = 0 Solving -24 + 4z = 0 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 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 4z = 0 + 24 4z = 0 + 24 Combine like terms: 0 + 24 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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