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Simplifying 0.5z + 27.3 = 4.4z Reorder the terms: 27.3 + 0.5z = 4.4z Solving 27.3 + 0.5z = 4.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4.4z' to each side of the equation. 27.3 + 0.5z + -4.4z = 4.4z + -4.4z Combine like terms: 0.5z + -4.4z = -3.9z 27.3 + -3.9z = 4.4z + -4.4z Combine like terms: 4.4z + -4.4z = 0.0 27.3 + -3.9z = 0.0 Add '-27.3' to each side of the equation. 27.3 + -27.3 + -3.9z = 0.0 + -27.3 Combine like terms: 27.3 + -27.3 = 0.0 0.0 + -3.9z = 0.0 + -27.3 -3.9z = 0.0 + -27.3 Combine like terms: 0.0 + -27.3 = -27.3 -3.9z = -27.3 Divide each side by '-3.9'. z = 7 Simplifying z = 7
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