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Simplifying 1z + 4 = 2 + 2 + -2z Reorder the terms: 4 + 1z = 2 + 2 + -2z Combine like terms: 2 + 2 = 4 4 + 1z = 4 + -2z Add '-4' to each side of the equation. 4 + -4 + 1z = 4 + -4 + -2z Combine like terms: 4 + -4 = 0 0 + 1z = 4 + -4 + -2z 1z = 4 + -4 + -2z Combine like terms: 4 + -4 = 0 1z = 0 + -2z 1z = -2z Solving 1z = -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. 1z + 2z = -2z + 2z Combine like terms: 1z + 2z = 3z 3z = -2z + 2z Combine like terms: -2z + 2z = 0 3z = 0 Divide each side by '3'. z = 0 Simplifying z = 0
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