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Simplifying 3z + -5z = 4z + 1 + -2z Combine like terms: 3z + -5z = -2z -2z = 4z + 1 + -2z Reorder the terms: -2z = 1 + 4z + -2z Combine like terms: 4z + -2z = 2z -2z = 1 + 2z Solving -2z = 1 + 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. -2z + -2z = 1 + 2z + -2z Combine like terms: -2z + -2z = -4z -4z = 1 + 2z + -2z Combine like terms: 2z + -2z = 0 -4z = 1 + 0 -4z = 1 Divide each side by '-4'. z = -0.25 Simplifying z = -0.25
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