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Simplifying -4 = -2(6 + 2z) -4 = (6 * -2 + 2z * -2) -4 = (-12 + -4z) Solving -4 = -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. -4 + 4z = -12 + -4z + 4z Combine like terms: -4z + 4z = 0 -4 + 4z = -12 + 0 -4 + 4z = -12 Add '4' to each side of the equation. -4 + 4 + 4z = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 4z = -12 + 4 4z = -12 + 4 Combine like terms: -12 + 4 = -8 4z = -8 Divide each side by '4'. z = -2 Simplifying z = -2
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