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Simplifying 0.7z + 1.9 + 0.1z = 7.1k + 34.4 Reorder the terms: 1.9 + 0.7z + 0.1z = 7.1k + 34.4 Combine like terms: 0.7z + 0.1z = 0.8z 1.9 + 0.8z = 7.1k + 34.4 Reorder the terms: 1.9 + 0.8z = 34.4 + 7.1k Solving 1.9 + 0.8z = 34.4 + 7.1k 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 = 34.4 + -1.9 + 7.1k Combine like terms: 1.9 + -1.9 = 0.0 0.0 + 0.8z = 34.4 + -1.9 + 7.1k 0.8z = 34.4 + -1.9 + 7.1k Combine like terms: 34.4 + -1.9 = 32.5 0.8z = 32.5 + 7.1k Divide each side by '0.8'. z = 40.625 + 8.875k Simplifying z = 40.625 + 8.875k
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