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Simplifying 0.4z = 0.5(2z + 6) Reorder the terms: 0.4z = 0.5(6 + 2z) 0.4z = (6 * 0.5 + 2z * 0.5) 0.4z = (3 + 1z) Solving 0.4z = 3 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 0.4z + -1z = 3 + 1z + -1z Combine like terms: 0.4z + -1z = -0.6z -0.6z = 3 + 1z + -1z Combine like terms: 1z + -1z = 0 -0.6z = 3 + 0 -0.6z = 3 Divide each side by '-0.6'. z = -5 Simplifying z = -5
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