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Simplifying -6.5k + -17.72 = -5.4k + -5.76 + 9.93 Reorder the terms: -17.72 + -6.5k = -5.4k + -5.76 + 9.93 Reorder the terms: -17.72 + -6.5k = -5.76 + 9.93 + -5.4k Combine like terms: -5.76 + 9.93 = 4.17 -17.72 + -6.5k = 4.17 + -5.4k Solving -17.72 + -6.5k = 4.17 + -5.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5.4k' to each side of the equation. -17.72 + -6.5k + 5.4k = 4.17 + -5.4k + 5.4k Combine like terms: -6.5k + 5.4k = -1.1k -17.72 + -1.1k = 4.17 + -5.4k + 5.4k Combine like terms: -5.4k + 5.4k = 0.0 -17.72 + -1.1k = 4.17 + 0.0 -17.72 + -1.1k = 4.17 Add '17.72' to each side of the equation. -17.72 + 17.72 + -1.1k = 4.17 + 17.72 Combine like terms: -17.72 + 17.72 = 0.00 0.00 + -1.1k = 4.17 + 17.72 -1.1k = 4.17 + 17.72 Combine like terms: 4.17 + 17.72 = 21.89 -1.1k = 21.89 Divide each side by '-1.1'. k = -19.9 Simplifying k = -19.9
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