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Simplifying 16 = 12k + -7k + -1k + -4k + 2k Combine like terms: 12k + -7k = 5k 16 = 5k + -1k + -4k + 2k Combine like terms: 5k + -1k = 4k 16 = 4k + -4k + 2k Combine like terms: 4k + -4k = 0 16 = 0 + 2k 16 = 2k Solving 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. 16 + -2k = 2k + -2k Combine like terms: 2k + -2k = 0 16 + -2k = 0 Add '-16' to each side of the equation. 16 + -16 + -2k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2k = 0 + -16 -2k = 0 + -16 Combine like terms: 0 + -16 = -16 -2k = -16 Divide each side by '-2'. k = 8 Simplifying k = 8
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