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Simplifying 12k + 42 = 10k + -2 + -14 Reorder the terms: 42 + 12k = 10k + -2 + -14 Reorder the terms: 42 + 12k = -2 + -14 + 10k Combine like terms: -2 + -14 = -16 42 + 12k = -16 + 10k Solving 42 + 12k = -16 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 42 + 12k + -10k = -16 + 10k + -10k Combine like terms: 12k + -10k = 2k 42 + 2k = -16 + 10k + -10k Combine like terms: 10k + -10k = 0 42 + 2k = -16 + 0 42 + 2k = -16 Add '-42' to each side of the equation. 42 + -42 + 2k = -16 + -42 Combine like terms: 42 + -42 = 0 0 + 2k = -16 + -42 2k = -16 + -42 Combine like terms: -16 + -42 = -58 2k = -58 Divide each side by '2'. k = -29 Simplifying k = -29
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