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Simplifying 81 + 2k = 5k + 2k Combine like terms: 5k + 2k = 7k 81 + 2k = 7k Solving 81 + 2k = 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. 81 + 2k + -7k = 7k + -7k Combine like terms: 2k + -7k = -5k 81 + -5k = 7k + -7k Combine like terms: 7k + -7k = 0 81 + -5k = 0 Add '-81' to each side of the equation. 81 + -81 + -5k = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -5k = 0 + -81 -5k = 0 + -81 Combine like terms: 0 + -81 = -81 -5k = -81 Divide each side by '-5'. k = 16.2 Simplifying k = 16.2
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