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Simplifying 0.7z + 1.9 + 0.1z = 5.5 + -0.47 Reorder the terms: 1.9 + 0.7z + 0.1z = 5.5 + -0.47 Combine like terms: 0.7z + 0.1z = 0.8z 1.9 + 0.8z = 5.5 + -0.47 Combine like terms: 5.5 + -0.47 = 5.03 1.9 + 0.8z = 5.03 Solving 1.9 + 0.8z = 5.03 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.9' to each side of the equation. 1.9 + -1.9 + 0.8z = 5.03 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + 0.8z = 5.03 + -1.9 0.8z = 5.03 + -1.9 Combine like terms: 5.03 + -1.9 = 3.13 0.8z = 3.13 Divide each side by '0.8'. z = 3.9125 Simplifying z = 3.9125
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