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Simplifying 12 + 5k = k + -8 Reorder the terms: 12 + 5k = -8 + k Solving 12 + 5k = -8 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 12 + 5k + -1k = -8 + k + -1k Combine like terms: 5k + -1k = 4k 12 + 4k = -8 + k + -1k Combine like terms: k + -1k = 0 12 + 4k = -8 + 0 12 + 4k = -8 Add '-12' to each side of the equation. 12 + -12 + 4k = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 4k = -8 + -12 4k = -8 + -12 Combine like terms: -8 + -12 = -20 4k = -20 Divide each side by '4'. k = -5 Simplifying k = -5
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