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Simplifying 14k + 8 = -16 + 2k Reorder the terms: 8 + 14k = -16 + 2k Solving 8 + 14k = -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. 8 + 14k + -2k = -16 + 2k + -2k Combine like terms: 14k + -2k = 12k 8 + 12k = -16 + 2k + -2k Combine like terms: 2k + -2k = 0 8 + 12k = -16 + 0 8 + 12k = -16 Add '-8' to each side of the equation. 8 + -8 + 12k = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 12k = -16 + -8 12k = -16 + -8 Combine like terms: -16 + -8 = -24 12k = -24 Divide each side by '12'. k = -2 Simplifying k = -2
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