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Simplifying -4z + 2 + -4z = 4 + -2z Reorder the terms: 2 + -4z + -4z = 4 + -2z Combine like terms: -4z + -4z = -8z 2 + -8z = 4 + -2z Solving 2 + -8z = 4 + -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. 2 + -8z + 2z = 4 + -2z + 2z Combine like terms: -8z + 2z = -6z 2 + -6z = 4 + -2z + 2z Combine like terms: -2z + 2z = 0 2 + -6z = 4 + 0 2 + -6z = 4 Add '-2' to each side of the equation. 2 + -2 + -6z = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -6z = 4 + -2 -6z = 4 + -2 Combine like terms: 4 + -2 = 2 -6z = 2 Divide each side by '-6'. z = -0.3333333333 Simplifying z = -0.3333333333
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