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Simplifying 1.6k + -13.13 + 4.91 = 8.2k + 10.92 Reorder the terms: -13.13 + 4.91 + 1.6k = 8.2k + 10.92 Combine like terms: -13.13 + 4.91 = -8.22 -8.22 + 1.6k = 8.2k + 10.92 Reorder the terms: -8.22 + 1.6k = 10.92 + 8.2k Solving -8.22 + 1.6k = 10.92 + 8.2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8.2k' to each side of the equation. -8.22 + 1.6k + -8.2k = 10.92 + 8.2k + -8.2k Combine like terms: 1.6k + -8.2k = -6.6k -8.22 + -6.6k = 10.92 + 8.2k + -8.2k Combine like terms: 8.2k + -8.2k = 0.0 -8.22 + -6.6k = 10.92 + 0.0 -8.22 + -6.6k = 10.92 Add '8.22' to each side of the equation. -8.22 + 8.22 + -6.6k = 10.92 + 8.22 Combine like terms: -8.22 + 8.22 = 0.00 0.00 + -6.6k = 10.92 + 8.22 -6.6k = 10.92 + 8.22 Combine like terms: 10.92 + 8.22 = 19.14 -6.6k = 19.14 Divide each side by '-6.6'. k = -2.9 Simplifying k = -2.9
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