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Simplifying 0.7z + 1.9 + 0.1z = 5.5z + -0.4z Reorder the terms: 1.9 + 0.7z + 0.1z = 5.5z + -0.4z Combine like terms: 0.7z + 0.1z = 0.8z 1.9 + 0.8z = 5.5z + -0.4z Combine like terms: 5.5z + -0.4z = 5.1z 1.9 + 0.8z = 5.1z Solving 1.9 + 0.8z = 5.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.1z' to each side of the equation. 1.9 + 0.8z + -5.1z = 5.1z + -5.1z Combine like terms: 0.8z + -5.1z = -4.3z 1.9 + -4.3z = 5.1z + -5.1z Combine like terms: 5.1z + -5.1z = 0.0 1.9 + -4.3z = 0.0 Add '-1.9' to each side of the equation. 1.9 + -1.9 + -4.3z = 0.0 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + -4.3z = 0.0 + -1.9 -4.3z = 0.0 + -1.9 Combine like terms: 0.0 + -1.9 = -1.9 -4.3z = -1.9 Divide each side by '-4.3'. z = 0.4418604651 Simplifying z = 0.4418604651
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