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Simplifying -4.41 + -11.9k = 14.38 + -10.4k + 8.96 Reorder the terms: -4.41 + -11.9k = 14.38 + 8.96 + -10.4k Combine like terms: 14.38 + 8.96 = 23.34 -4.41 + -11.9k = 23.34 + -10.4k Solving -4.41 + -11.9k = 23.34 + -10.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10.4k' to each side of the equation. -4.41 + -11.9k + 10.4k = 23.34 + -10.4k + 10.4k Combine like terms: -11.9k + 10.4k = -1.5k -4.41 + -1.5k = 23.34 + -10.4k + 10.4k Combine like terms: -10.4k + 10.4k = 0.0 -4.41 + -1.5k = 23.34 + 0.0 -4.41 + -1.5k = 23.34 Add '4.41' to each side of the equation. -4.41 + 4.41 + -1.5k = 23.34 + 4.41 Combine like terms: -4.41 + 4.41 = 0.00 0.00 + -1.5k = 23.34 + 4.41 -1.5k = 23.34 + 4.41 Combine like terms: 23.34 + 4.41 = 27.75 -1.5k = 27.75 Divide each side by '-1.5'. k = -18.5 Simplifying k = -18.5
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