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Simplifying 0.7z + 1.9 + 0.1z = 5.5 + -0.4z Reorder the terms: 1.9 + 0.7z + 0.1z = 5.5 + -0.4z Combine like terms: 0.7z + 0.1z = 0.8z 1.9 + 0.8z = 5.5 + -0.4z Solving 1.9 + 0.8z = 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. 1.9 + 0.8z + 0.4z = 5.5 + -0.4z + 0.4z Combine like terms: 0.8z + 0.4z = 1.2z 1.9 + 1.2z = 5.5 + -0.4z + 0.4z Combine like terms: -0.4z + 0.4z = 0.0 1.9 + 1.2z = 5.5 + 0.0 1.9 + 1.2z = 5.5 Add '-1.9' to each side of the equation. 1.9 + -1.9 + 1.2z = 5.5 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + 1.2z = 5.5 + -1.9 1.2z = 5.5 + -1.9 Combine like terms: 5.5 + -1.9 = 3.6 1.2z = 3.6 Divide each side by '1.2'. z = 3 Simplifying z = 3
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