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Simplifying 13.55 + -12.5k = -4.82 + 8.2k + -6.47 Reorder the terms: 13.55 + -12.5k = -4.82 + -6.47 + 8.2k Combine like terms: -4.82 + -6.47 = -11.29 13.55 + -12.5k = -11.29 + 8.2k Solving 13.55 + -12.5k = -11.29 + 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. 13.55 + -12.5k + -8.2k = -11.29 + 8.2k + -8.2k Combine like terms: -12.5k + -8.2k = -20.7k 13.55 + -20.7k = -11.29 + 8.2k + -8.2k Combine like terms: 8.2k + -8.2k = 0.0 13.55 + -20.7k = -11.29 + 0.0 13.55 + -20.7k = -11.29 Add '-13.55' to each side of the equation. 13.55 + -13.55 + -20.7k = -11.29 + -13.55 Combine like terms: 13.55 + -13.55 = 0.00 0.00 + -20.7k = -11.29 + -13.55 -20.7k = -11.29 + -13.55 Combine like terms: -11.29 + -13.55 = -24.84 -20.7k = -24.84 Divide each side by '-20.7'. k = 1.2 Simplifying k = 1.2
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