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Simplifying 0.4z + 4.7 = 5.1z Reorder the terms: 4.7 + 0.4z = 5.1z Solving 4.7 + 0.4z = 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. 4.7 + 0.4z + -5.1z = 5.1z + -5.1z Combine like terms: 0.4z + -5.1z = -4.7z 4.7 + -4.7z = 5.1z + -5.1z Combine like terms: 5.1z + -5.1z = 0.0 4.7 + -4.7z = 0.0 Add '-4.7' to each side of the equation. 4.7 + -4.7 + -4.7z = 0.0 + -4.7 Combine like terms: 4.7 + -4.7 = 0.0 0.0 + -4.7z = 0.0 + -4.7 -4.7z = 0.0 + -4.7 Combine like terms: 0.0 + -4.7 = -4.7 -4.7z = -4.7 Divide each side by '-4.7'. z = 1 Simplifying z = 1
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