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Simplifying -2z + -2z = 6z + 1 + -2z Combine like terms: -2z + -2z = -4z -4z = 6z + 1 + -2z Reorder the terms: -4z = 1 + 6z + -2z Combine like terms: 6z + -2z = 4z -4z = 1 + 4z Solving -4z = 1 + 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. -4z + -4z = 1 + 4z + -4z Combine like terms: -4z + -4z = -8z -8z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 -8z = 1 + 0 -8z = 1 Divide each side by '-8'. z = -0.125 Simplifying z = -0.125
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