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Simplifying 2 + -1z = 3 + -4z Solving 2 + -1z = 3 + -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 = 3 + -4z + 4z Combine like terms: -1z + 4z = 3z 2 + 3z = 3 + -4z + 4z Combine like terms: -4z + 4z = 0 2 + 3z = 3 + 0 2 + 3z = 3 Add '-2' to each side of the equation. 2 + -2 + 3z = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 3z = 3 + -2 3z = 3 + -2 Combine like terms: 3 + -2 = 1 3z = 1 Divide each side by '3'. z = 0.3333333333 Simplifying z = 0.3333333333
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