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