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Simplifying 14 + 3k = 6k + -8k + -16 Reorder the terms: 14 + 3k = -16 + 6k + -8k Combine like terms: 6k + -8k = -2k 14 + 3k = -16 + -2k Solving 14 + 3k = -16 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 14 + 3k + 2k = -16 + -2k + 2k Combine like terms: 3k + 2k = 5k 14 + 5k = -16 + -2k + 2k Combine like terms: -2k + 2k = 0 14 + 5k = -16 + 0 14 + 5k = -16 Add '-14' to each side of the equation. 14 + -14 + 5k = -16 + -14 Combine like terms: 14 + -14 = 0 0 + 5k = -16 + -14 5k = -16 + -14 Combine like terms: -16 + -14 = -30 5k = -30 Divide each side by '5'. k = -6 Simplifying k = -6
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