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Simplifying 2(2z + -6) = -4z + 12 Reorder the terms: 2(-6 + 2z) = -4z + 12 (-6 * 2 + 2z * 2) = -4z + 12 (-12 + 4z) = -4z + 12 Reorder the terms: -12 + 4z = 12 + -4z Solving -12 + 4z = 12 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -12 + 4z + 4z = 12 + -4z + 4z Combine like terms: 4z + 4z = 8z -12 + 8z = 12 + -4z + 4z Combine like terms: -4z + 4z = 0 -12 + 8z = 12 + 0 -12 + 8z = 12 Add '12' to each side of the equation. -12 + 12 + 8z = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8z = 12 + 12 8z = 12 + 12 Combine like terms: 12 + 12 = 24 8z = 24 Divide each side by '8'. z = 3 Simplifying z = 3
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