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