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Simplifying 5z + 0.2 = 6z + 0.4 Reorder the terms: 0.2 + 5z = 6z + 0.4 Reorder the terms: 0.2 + 5z = 0.4 + 6z Solving 0.2 + 5z = 0.4 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 0.2 + 5z + -6z = 0.4 + 6z + -6z Combine like terms: 5z + -6z = -1z 0.2 + -1z = 0.4 + 6z + -6z Combine like terms: 6z + -6z = 0 0.2 + -1z = 0.4 + 0 0.2 + -1z = 0.4 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -1z = 0.4 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -1z = 0.4 + -0.2 -1z = 0.4 + -0.2 Combine like terms: 0.4 + -0.2 = 0.2 -1z = 0.2 Divide each side by '-1'. z = -0.2 Simplifying z = -0.2
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