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Simplifying -1z + -2 = 4 + -4z Reorder the terms: -2 + -1z = 4 + -4z Solving -2 + -1z = 4 + -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. -2 + -1z + 4z = 4 + -4z + 4z Combine like terms: -1z + 4z = 3z -2 + 3z = 4 + -4z + 4z Combine like terms: -4z + 4z = 0 -2 + 3z = 4 + 0 -2 + 3z = 4 Add '2' to each side of the equation. -2 + 2 + 3z = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 3z = 4 + 2 3z = 4 + 2 Combine like terms: 4 + 2 = 6 3z = 6 Divide each side by '3'. z = 2 Simplifying z = 2
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