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Simplifying -19 = k + 2 + -4k Reorder the terms: -19 = 2 + k + -4k Combine like terms: k + -4k = -3k -19 = 2 + -3k Solving -19 = 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 + 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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