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Simplifying 0.7z + 19 + 0.1z = 5.5 + -0.4z Reorder the terms: 19 + 0.7z + 0.1z = 5.5 + -0.4z Combine like terms: 0.7z + 0.1z = 0.8z 19 + 0.8z = 5.5 + -0.4z Solving 19 + 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. 19 + 0.8z + 0.4z = 5.5 + -0.4z + 0.4z Combine like terms: 0.8z + 0.4z = 1.2z 19 + 1.2z = 5.5 + -0.4z + 0.4z Combine like terms: -0.4z + 0.4z = 0.0 19 + 1.2z = 5.5 + 0.0 19 + 1.2z = 5.5 Add '-19' to each side of the equation. 19 + -19 + 1.2z = 5.5 + -19 Combine like terms: 19 + -19 = 0 0 + 1.2z = 5.5 + -19 1.2z = 5.5 + -19 Combine like terms: 5.5 + -19 = -13.5 1.2z = -13.5 Divide each side by '1.2'. z = -11.25 Simplifying z = -11.25
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