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Simplifying 16k + 8 + -8k + 16 = 6k + 12 + -1 Reorder the terms: 8 + 16 + 16k + -8k = 6k + 12 + -1 Combine like terms: 8 + 16 = 24 24 + 16k + -8k = 6k + 12 + -1 Combine like terms: 16k + -8k = 8k 24 + 8k = 6k + 12 + -1 Reorder the terms: 24 + 8k = 12 + -1 + 6k Combine like terms: 12 + -1 = 11 24 + 8k = 11 + 6k Solving 24 + 8k = 11 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 24 + 8k + -6k = 11 + 6k + -6k Combine like terms: 8k + -6k = 2k 24 + 2k = 11 + 6k + -6k Combine like terms: 6k + -6k = 0 24 + 2k = 11 + 0 24 + 2k = 11 Add '-24' to each side of the equation. 24 + -24 + 2k = 11 + -24 Combine like terms: 24 + -24 = 0 0 + 2k = 11 + -24 2k = 11 + -24 Combine like terms: 11 + -24 = -13 2k = -13 Divide each side by '2'. k = -6.5 Simplifying k = -6.5
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