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