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Simplifying 5.5 + -0.4z = -0.2z + 0.9z + 1.9 + 0.1z Reorder the terms: 5.5 + -0.4z = 1.9 + -0.2z + 0.9z + 0.1z Combine like terms: -0.2z + 0.9z = 0.7z 5.5 + -0.4z = 1.9 + 0.7z + 0.1z Combine like terms: 0.7z + 0.1z = 0.8z 5.5 + -0.4z = 1.9 + 0.8z Solving 5.5 + -0.4z = 1.9 + 0.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.8z' to each side of the equation. 5.5 + -0.4z + -0.8z = 1.9 + 0.8z + -0.8z Combine like terms: -0.4z + -0.8z = -1.2z 5.5 + -1.2z = 1.9 + 0.8z + -0.8z Combine like terms: 0.8z + -0.8z = 0.0 5.5 + -1.2z = 1.9 + 0.0 5.5 + -1.2z = 1.9 Add '-5.5' to each side of the equation. 5.5 + -5.5 + -1.2z = 1.9 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -1.2z = 1.9 + -5.5 -1.2z = 1.9 + -5.5 Combine like terms: 1.9 + -5.5 = -3.6 -1.2z = -3.6 Divide each side by '-1.2'. z = 3 Simplifying z = 3
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