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Simplifying 19 + -2k = 3k + -1 Reorder the terms: 19 + -2k = -1 + 3k Solving 19 + -2k = -1 + 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. 19 + -2k + -3k = -1 + 3k + -3k Combine like terms: -2k + -3k = -5k 19 + -5k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 19 + -5k = -1 + 0 19 + -5k = -1 Add '-19' to each side of the equation. 19 + -19 + -5k = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -5k = -1 + -19 -5k = -1 + -19 Combine like terms: -1 + -19 = -20 -5k = -20 Divide each side by '-5'. k = 4 Simplifying k = 4
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