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Simplifying 0.6z + 3.8 = 2.5z Reorder the terms: 3.8 + 0.6z = 2.5z Solving 3.8 + 0.6z = 2.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.5z' to each side of the equation. 3.8 + 0.6z + -2.5z = 2.5z + -2.5z Combine like terms: 0.6z + -2.5z = -1.9z 3.8 + -1.9z = 2.5z + -2.5z Combine like terms: 2.5z + -2.5z = 0.0 3.8 + -1.9z = 0.0 Add '-3.8' to each side of the equation. 3.8 + -3.8 + -1.9z = 0.0 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + -1.9z = 0.0 + -3.8 -1.9z = 0.0 + -3.8 Combine like terms: 0.0 + -3.8 = -3.8 -1.9z = -3.8 Divide each side by '-1.9'. z = 2 Simplifying z = 2
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