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Simplifying 0.4 + -2k = 6 + -4k Solving 0.4 + -2k = 6 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 0.4 + -2k + 4k = 6 + -4k + 4k Combine like terms: -2k + 4k = 2k 0.4 + 2k = 6 + -4k + 4k Combine like terms: -4k + 4k = 0 0.4 + 2k = 6 + 0 0.4 + 2k = 6 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 2k = 6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 2k = 6 + -0.4 2k = 6 + -0.4 Combine like terms: 6 + -0.4 = 5.6 2k = 5.6 Divide each side by '2'. k = 2.8 Simplifying k = 2.8
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