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Simplifying 7.81 + 15k = 18.6k + 2.05 Reorder the terms: 7.81 + 15k = 2.05 + 18.6k Solving 7.81 + 15k = 2.05 + 18.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18.6k' to each side of the equation. 7.81 + 15k + -18.6k = 2.05 + 18.6k + -18.6k Combine like terms: 15k + -18.6k = -3.6k 7.81 + -3.6k = 2.05 + 18.6k + -18.6k Combine like terms: 18.6k + -18.6k = 0.0 7.81 + -3.6k = 2.05 + 0.0 7.81 + -3.6k = 2.05 Add '-7.81' to each side of the equation. 7.81 + -7.81 + -3.6k = 2.05 + -7.81 Combine like terms: 7.81 + -7.81 = 0.00 0.00 + -3.6k = 2.05 + -7.81 -3.6k = 2.05 + -7.81 Combine like terms: 2.05 + -7.81 = -5.76 -3.6k = -5.76 Divide each side by '-3.6'. k = 1.6 Simplifying k = 1.6
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