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Simplifying 2z + -2 + -1z = 3 + -3z Reorder the terms: -2 + 2z + -1z = 3 + -3z Combine like terms: 2z + -1z = 1z -2 + 1z = 3 + -3z Solving -2 + 1z = 3 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -2 + 1z + 3z = 3 + -3z + 3z Combine like terms: 1z + 3z = 4z -2 + 4z = 3 + -3z + 3z Combine like terms: -3z + 3z = 0 -2 + 4z = 3 + 0 -2 + 4z = 3 Add '2' to each side of the equation. -2 + 2 + 4z = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 4z = 3 + 2 4z = 3 + 2 Combine like terms: 3 + 2 = 5 4z = 5 Divide each side by '4'. z = 1.25 Simplifying z = 1.25
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