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Simplifying 2k + -5 = 5k + 19 Reorder the terms: -5 + 2k = 5k + 19 Reorder the terms: -5 + 2k = 19 + 5k Solving -5 + 2k = 19 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -5 + 2k + -5k = 19 + 5k + -5k Combine like terms: 2k + -5k = -3k -5 + -3k = 19 + 5k + -5k Combine like terms: 5k + -5k = 0 -5 + -3k = 19 + 0 -5 + -3k = 19 Add '5' to each side of the equation. -5 + 5 + -3k = 19 + 5 Combine like terms: -5 + 5 = 0 0 + -3k = 19 + 5 -3k = 19 + 5 Combine like terms: 19 + 5 = 24 -3k = 24 Divide each side by '-3'. k = -8 Simplifying k = -8
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