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Simplifying 18.25 + -9.7k = -19.42 + -13.95 + -12.6k Combine like terms: -19.42 + -13.95 = -33.37 18.25 + -9.7k = -33.37 + -12.6k Solving 18.25 + -9.7k = -33.37 + -12.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12.6k' to each side of the equation. 18.25 + -9.7k + 12.6k = -33.37 + -12.6k + 12.6k Combine like terms: -9.7k + 12.6k = 2.9k 18.25 + 2.9k = -33.37 + -12.6k + 12.6k Combine like terms: -12.6k + 12.6k = 0.0 18.25 + 2.9k = -33.37 + 0.0 18.25 + 2.9k = -33.37 Add '-18.25' to each side of the equation. 18.25 + -18.25 + 2.9k = -33.37 + -18.25 Combine like terms: 18.25 + -18.25 = 0.00 0.00 + 2.9k = -33.37 + -18.25 2.9k = -33.37 + -18.25 Combine like terms: -33.37 + -18.25 = -51.62 2.9k = -51.62 Divide each side by '2.9'. k = -17.8 Simplifying k = -17.8
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