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Simplifying -2.4k + -1(-3 + -6k) = 19 + -20.4k -2.4k + (-3 * -1 + -6k * -1) = 19 + -20.4k -2.4k + (3 + 6k) = 19 + -20.4k Reorder the terms: 3 + -2.4k + 6k = 19 + -20.4k Combine like terms: -2.4k + 6k = 3.6k 3 + 3.6k = 19 + -20.4k Solving 3 + 3.6k = 19 + -20.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20.4k' to each side of the equation. 3 + 3.6k + 20.4k = 19 + -20.4k + 20.4k Combine like terms: 3.6k + 20.4k = 24k 3 + 24k = 19 + -20.4k + 20.4k Combine like terms: -20.4k + 20.4k = 0.0 3 + 24k = 19 + 0.0 3 + 24k = 19 Add '-3' to each side of the equation. 3 + -3 + 24k = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 24k = 19 + -3 24k = 19 + -3 Combine like terms: 19 + -3 = 16 24k = 16 Divide each side by '24'. k = 0.6666666667 Simplifying k = 0.6666666667
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