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