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Simplifying -19 + 6k = 2(1 + -1k) + 5k -19 + 6k = (1 * 2 + -1k * 2) + 5k -19 + 6k = (2 + -2k) + 5k Combine like terms: -2k + 5k = 3k -19 + 6k = 2 + 3k Solving -19 + 6k = 2 + 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 + 6k + -3k = 2 + 3k + -3k Combine like terms: 6k + -3k = 3k -19 + 3k = 2 + 3k + -3k Combine like terms: 3k + -3k = 0 -19 + 3k = 2 + 0 -19 + 3k = 2 Add '19' to each side of the equation. -19 + 19 + 3k = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 3k = 2 + 19 3k = 2 + 19 Combine like terms: 2 + 19 = 21 3k = 21 Divide each side by '3'. k = 7 Simplifying k = 7
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