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Simplifying 0.2(4z + 6) = 36 Reorder the terms: 0.2(6 + 4z) = 36 (6 * 0.2 + 4z * 0.2) = 36 (1.2 + 0.8z) = 36 Solving 1.2 + 0.8z = 36 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 + 0.8z = 36 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.8z = 36 + -1.2 0.8z = 36 + -1.2 Combine like terms: 36 + -1.2 = 34.8 0.8z = 34.8 Divide each side by '0.8'. z = 43.5 Simplifying z = 43.5
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