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Simplifying 0.2z + 4(0.3 + 0.2z) = 2.2 0.2z + (0.3 * 4 + 0.2z * 4) = 2.2 0.2z + (1.2 + 0.8z) = 2.2 Reorder the terms: 1.2 + 0.2z + 0.8z = 2.2 Combine like terms: 0.2z + 0.8z = 1z 1.2 + 1z = 2.2 Solving 1.2 + 1z = 2.2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + 1z = 2.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 1z = 2.2 + -1.2 1z = 2.2 + -1.2 Combine like terms: 2.2 + -1.2 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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