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Simplifying -19 = k + 14 + 2k Reorder the terms: -19 = 14 + k + 2k Combine like terms: k + 2k = 3k -19 = 14 + 3k Solving -19 = 14 + 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 = 14 + 3k + -3k Combine like terms: 3k + -3k = 0 -19 + -3k = 14 + 0 -19 + -3k = 14 Add '19' to each side of the equation. -19 + 19 + -3k = 14 + 19 Combine like terms: -19 + 19 = 0 0 + -3k = 14 + 19 -3k = 14 + 19 Combine like terms: 14 + 19 = 33 -3k = 33 Divide each side by '-3'. k = -11 Simplifying k = -11
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