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Simplifying 3z + 0.4 = 4z Reorder the terms: 0.4 + 3z = 4z Solving 0.4 + 3z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 0.4 + 3z + -4z = 4z + -4z Combine like terms: 3z + -4z = -1z 0.4 + -1z = 4z + -4z Combine like terms: 4z + -4z = 0 0.4 + -1z = 0 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -1z = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -1z = 0 + -0.4 -1z = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -1z = -0.4 Divide each side by '-1'. z = 0.4 Simplifying z = 0.4
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