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Simplifying 81 = 7k + 19 + 3k Reorder the terms: 81 = 19 + 7k + 3k Combine like terms: 7k + 3k = 10k 81 = 19 + 10k Solving 81 = 19 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 81 + -10k = 19 + 10k + -10k Combine like terms: 10k + -10k = 0 81 + -10k = 19 + 0 81 + -10k = 19 Add '-81' to each side of the equation. 81 + -81 + -10k = 19 + -81 Combine like terms: 81 + -81 = 0 0 + -10k = 19 + -81 -10k = 19 + -81 Combine like terms: 19 + -81 = -62 -10k = -62 Divide each side by '-10'. k = 6.2 Simplifying k = 6.2
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