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Simplifying -9.97 + -9.1k = 0.7k + 14.39 + -7.7k Reorder the terms: -9.97 + -9.1k = 14.39 + 0.7k + -7.7k Combine like terms: 0.7k + -7.7k = -7k -9.97 + -9.1k = 14.39 + -7k Solving -9.97 + -9.1k = 14.39 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -9.97 + -9.1k + 7k = 14.39 + -7k + 7k Combine like terms: -9.1k + 7k = -2.1k -9.97 + -2.1k = 14.39 + -7k + 7k Combine like terms: -7k + 7k = 0 -9.97 + -2.1k = 14.39 + 0 -9.97 + -2.1k = 14.39 Add '9.97' to each side of the equation. -9.97 + 9.97 + -2.1k = 14.39 + 9.97 Combine like terms: -9.97 + 9.97 = 0.00 0.00 + -2.1k = 14.39 + 9.97 -2.1k = 14.39 + 9.97 Combine like terms: 14.39 + 9.97 = 24.36 -2.1k = 24.36 Divide each side by '-2.1'. k = -11.6 Simplifying k = -11.6
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