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Simplifying 4z + 4 = -4z + -12 Reorder the terms: 4 + 4z = -4z + -12 Reorder the terms: 4 + 4z = -12 + -4z Solving 4 + 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. 4 + 4z + 4z = -12 + -4z + 4z Combine like terms: 4z + 4z = 8z 4 + 8z = -12 + -4z + 4z Combine like terms: -4z + 4z = 0 4 + 8z = -12 + 0 4 + 8z = -12 Add '-4' to each side of the equation. 4 + -4 + 8z = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 8z = -12 + -4 8z = -12 + -4 Combine like terms: -12 + -4 = -16 8z = -16 Divide each side by '8'. z = -2 Simplifying z = -2
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