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Simplifying 19 + -12k = -14k + -11 Reorder the terms: 19 + -12k = -11 + -14k Solving 19 + -12k = -11 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. 19 + -12k + 14k = -11 + -14k + 14k Combine like terms: -12k + 14k = 2k 19 + 2k = -11 + -14k + 14k Combine like terms: -14k + 14k = 0 19 + 2k = -11 + 0 19 + 2k = -11 Add '-19' to each side of the equation. 19 + -19 + 2k = -11 + -19 Combine like terms: 19 + -19 = 0 0 + 2k = -11 + -19 2k = -11 + -19 Combine like terms: -11 + -19 = -30 2k = -30 Divide each side by '2'. k = -15 Simplifying k = -15
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