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Simplifying 5z + -3z + 1.6 = 4.1 + 0.9 Reorder the terms: 1.6 + 5z + -3z = 4.1 + 0.9 Combine like terms: 5z + -3z = 2z 1.6 + 2z = 4.1 + 0.9 Combine like terms: 4.1 + 0.9 = 5 1.6 + 2z = 5 Solving 1.6 + 2z = 5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.6' to each side of the equation. 1.6 + -1.6 + 2z = 5 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 2z = 5 + -1.6 2z = 5 + -1.6 Combine like terms: 5 + -1.6 = 3.4 2z = 3.4 Divide each side by '2'. z = 1.7 Simplifying z = 1.7
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