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Simplifying 0.4(2k + 4) = 4.8 Reorder the terms: 0.4(4 + 2k) = 4.8 (4 * 0.4 + 2k * 0.4) = 4.8 (1.6 + 0.8k) = 4.8 Solving 1.6 + 0.8k = 4.8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.6' to each side of the equation. 1.6 + -1.6 + 0.8k = 4.8 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.8k = 4.8 + -1.6 0.8k = 4.8 + -1.6 Combine like terms: 4.8 + -1.6 = 3.2 0.8k = 3.2 Divide each side by '0.8'. k = 4 Simplifying k = 4
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