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Simplifying 7k + 4 = 2k + 19 Reorder the terms: 4 + 7k = 2k + 19 Reorder the terms: 4 + 7k = 19 + 2k Solving 4 + 7k = 19 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 4 + 7k + -2k = 19 + 2k + -2k Combine like terms: 7k + -2k = 5k 4 + 5k = 19 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + 5k = 19 + 0 4 + 5k = 19 Add '-4' to each side of the equation. 4 + -4 + 5k = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 5k = 19 + -4 5k = 19 + -4 Combine like terms: 19 + -4 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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