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Simplifying 3k + -8 = -16 + -1k + 5k Reorder the terms: -8 + 3k = -16 + -1k + 5k Combine like terms: -1k + 5k = 4k -8 + 3k = -16 + 4k Solving -8 + 3k = -16 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -8 + 3k + -4k = -16 + 4k + -4k Combine like terms: 3k + -4k = -1k -8 + -1k = -16 + 4k + -4k Combine like terms: 4k + -4k = 0 -8 + -1k = -16 + 0 -8 + -1k = -16 Add '8' to each side of the equation. -8 + 8 + -1k = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -1k = -16 + 8 -1k = -16 + 8 Combine like terms: -16 + 8 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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