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Simplifying -12.4 + -7.2k = 5.7 + -6.2k Solving -12.4 + -7.2k = 5.7 + -6.2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6.2k' to each side of the equation. -12.4 + -7.2k + 6.2k = 5.7 + -6.2k + 6.2k Combine like terms: -7.2k + 6.2k = -1k -12.4 + -1k = 5.7 + -6.2k + 6.2k Combine like terms: -6.2k + 6.2k = 0.0 -12.4 + -1k = 5.7 + 0.0 -12.4 + -1k = 5.7 Add '12.4' to each side of the equation. -12.4 + 12.4 + -1k = 5.7 + 12.4 Combine like terms: -12.4 + 12.4 = 0.0 0.0 + -1k = 5.7 + 12.4 -1k = 5.7 + 12.4 Combine like terms: 5.7 + 12.4 = 18.1 -1k = 18.1 Divide each side by '-1'. k = -18.1 Simplifying k = -18.1
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