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Simplifying 0.4k + 0.4k + -0.02 = 4.02 Reorder the terms: -0.02 + 0.4k + 0.4k = 4.02 Combine like terms: 0.4k + 0.4k = 0.8k -0.02 + 0.8k = 4.02 Solving -0.02 + 0.8k = 4.02 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.02' to each side of the equation. -0.02 + 0.02 + 0.8k = 4.02 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + 0.8k = 4.02 + 0.02 0.8k = 4.02 + 0.02 Combine like terms: 4.02 + 0.02 = 4.04 0.8k = 4.04 Divide each side by '0.8'. k = 5.05 Simplifying k = 5.05
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