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Simplifying 6.2k + 10.62 = -0.48 + -3.4k + 8.6k Reorder the terms: 10.62 + 6.2k = -0.48 + -3.4k + 8.6k Combine like terms: -3.4k + 8.6k = 5.2k 10.62 + 6.2k = -0.48 + 5.2k Solving 10.62 + 6.2k = -0.48 + 5.2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.2k' to each side of the equation. 10.62 + 6.2k + -5.2k = -0.48 + 5.2k + -5.2k Combine like terms: 6.2k + -5.2k = 1k 10.62 + 1k = -0.48 + 5.2k + -5.2k Combine like terms: 5.2k + -5.2k = 0.0 10.62 + 1k = -0.48 + 0.0 10.62 + 1k = -0.48 Add '-10.62' to each side of the equation. 10.62 + -10.62 + 1k = -0.48 + -10.62 Combine like terms: 10.62 + -10.62 = 0.00 0.00 + 1k = -0.48 + -10.62 1k = -0.48 + -10.62 Combine like terms: -0.48 + -10.62 = -11.1 1k = -11.1 Divide each side by '1'. k = -11.1 Simplifying k = -11.1
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