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Simplifying k + 8 = 5k + -16 Reorder the terms: 8 + k = 5k + -16 Reorder the terms: 8 + k = -16 + 5k Solving 8 + k = -16 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 8 + k + -5k = -16 + 5k + -5k Combine like terms: k + -5k = -4k 8 + -4k = -16 + 5k + -5k Combine like terms: 5k + -5k = 0 8 + -4k = -16 + 0 8 + -4k = -16 Add '-8' to each side of the equation. 8 + -8 + -4k = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -4k = -16 + -8 -4k = -16 + -8 Combine like terms: -16 + -8 = -24 -4k = -24 Divide each side by '-4'. k = 6 Simplifying k = 6
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