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Simplifying 0.7z + 1.9 + 0.1 = 5.5 + -0.4z Reorder the terms: 1.9 + 0.1 + 0.7z = 5.5 + -0.4z Combine like terms: 1.9 + 0.1 = 2 2 + 0.7z = 5.5 + -0.4z Solving 2 + 0.7z = 5.5 + -0.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.4z' to each side of the equation. 2 + 0.7z + 0.4z = 5.5 + -0.4z + 0.4z Combine like terms: 0.7z + 0.4z = 1.1z 2 + 1.1z = 5.5 + -0.4z + 0.4z Combine like terms: -0.4z + 0.4z = 0.0 2 + 1.1z = 5.5 + 0.0 2 + 1.1z = 5.5 Add '-2' to each side of the equation. 2 + -2 + 1.1z = 5.5 + -2 Combine like terms: 2 + -2 = 0 0 + 1.1z = 5.5 + -2 1.1z = 5.5 + -2 Combine like terms: 5.5 + -2 = 3.5 1.1z = 3.5 Divide each side by '1.1'. z = 3.181818182 Simplifying z = 3.181818182
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