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Simplifying 2k + -31 = 19 + -3k Reorder the terms: -31 + 2k = 19 + -3k Solving -31 + 2k = 19 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -31 + 2k + 3k = 19 + -3k + 3k Combine like terms: 2k + 3k = 5k -31 + 5k = 19 + -3k + 3k Combine like terms: -3k + 3k = 0 -31 + 5k = 19 + 0 -31 + 5k = 19 Add '31' to each side of the equation. -31 + 31 + 5k = 19 + 31 Combine like terms: -31 + 31 = 0 0 + 5k = 19 + 31 5k = 19 + 31 Combine like terms: 19 + 31 = 50 5k = 50 Divide each side by '5'. k = 10 Simplifying k = 10
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