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Simplifying -2k + 19 = k + -1 Reorder the terms: 19 + -2k = k + -1 Reorder the terms: 19 + -2k = -1 + k Solving 19 + -2k = -1 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 19 + -2k + -1k = -1 + k + -1k Combine like terms: -2k + -1k = -3k 19 + -3k = -1 + k + -1k Combine like terms: k + -1k = 0 19 + -3k = -1 + 0 19 + -3k = -1 Add '-19' to each side of the equation. 19 + -19 + -3k = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -3k = -1 + -19 -3k = -1 + -19 Combine like terms: -1 + -19 = -20 -3k = -20 Divide each side by '-3'. k = 6.666666667 Simplifying k = 6.666666667
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