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Simplifying 0.7z + 5.8 = 0.3z + 7 Reorder the terms: 5.8 + 0.7z = 0.3z + 7 Reorder the terms: 5.8 + 0.7z = 7 + 0.3z Solving 5.8 + 0.7z = 7 + 0.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.3z' to each side of the equation. 5.8 + 0.7z + -0.3z = 7 + 0.3z + -0.3z Combine like terms: 0.7z + -0.3z = 0.4z 5.8 + 0.4z = 7 + 0.3z + -0.3z Combine like terms: 0.3z + -0.3z = 0.0 5.8 + 0.4z = 7 + 0.0 5.8 + 0.4z = 7 Add '-5.8' to each side of the equation. 5.8 + -5.8 + 0.4z = 7 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + 0.4z = 7 + -5.8 0.4z = 7 + -5.8 Combine like terms: 7 + -5.8 = 1.2 0.4z = 1.2 Divide each side by '0.4'. z = 3 Simplifying z = 3
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