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Simplifying 3z + 5 + -1z = 5 + 2 + -1 Reorder the terms: 5 + 3z + -1z = 5 + 2 + -1 Combine like terms: 3z + -1z = 2z 5 + 2z = 5 + 2 + -1 Combine like terms: 5 + 2 = 7 5 + 2z = 7 + -1 Combine like terms: 7 + -1 = 6 5 + 2z = 6 Solving 5 + 2z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2z = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 2z = 6 + -5 2z = 6 + -5 Combine like terms: 6 + -5 = 1 2z = 1 Divide each side by '2'. z = 0.5 Simplifying z = 0.5
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