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Simplifying 0.8z + 1.6 = 0.4z + 4 Reorder the terms: 1.6 + 0.8z = 0.4z + 4 Reorder the terms: 1.6 + 0.8z = 4 + 0.4z Solving 1.6 + 0.8z = 4 + 0.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.4z' to each side of the equation. 1.6 + 0.8z + -0.4z = 4 + 0.4z + -0.4z Combine like terms: 0.8z + -0.4z = 0.4z 1.6 + 0.4z = 4 + 0.4z + -0.4z Combine like terms: 0.4z + -0.4z = 0.0 1.6 + 0.4z = 4 + 0.0 1.6 + 0.4z = 4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 0.4z = 4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.4z = 4 + -1.6 0.4z = 4 + -1.6 Combine like terms: 4 + -1.6 = 2.4 0.4z = 2.4 Divide each side by '0.4'. z = 6 Simplifying z = 6
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