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Simplifying 1 + 4k = 2.4 + 4.4k Solving 1 + 4k = 2.4 + 4.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4.4k' to each side of the equation. 1 + 4k + -4.4k = 2.4 + 4.4k + -4.4k Combine like terms: 4k + -4.4k = -0.4k 1 + -0.4k = 2.4 + 4.4k + -4.4k Combine like terms: 4.4k + -4.4k = 0.0 1 + -0.4k = 2.4 + 0.0 1 + -0.4k = 2.4 Add '-1' to each side of the equation. 1 + -1 + -0.4k = 2.4 + -1 Combine like terms: 1 + -1 = 0 0 + -0.4k = 2.4 + -1 -0.4k = 2.4 + -1 Combine like terms: 2.4 + -1 = 1.4 -0.4k = 1.4 Divide each side by '-0.4'. k = -3.5 Simplifying k = -3.5
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