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Simplifying 4z + 1 + -1z = 1 + 2 Reorder the terms: 1 + 4z + -1z = 1 + 2 Combine like terms: 4z + -1z = 3z 1 + 3z = 1 + 2 Combine like terms: 1 + 2 = 3 1 + 3z = 3 Solving 1 + 3z = 3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3z = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = 3 + -1 3z = 3 + -1 Combine like terms: 3 + -1 = 2 3z = 2 Divide each side by '3'. z = 0.6666666667 Simplifying z = 0.6666666667
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