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Simplifying 4k + 8 = 5k + 14 Reorder the terms: 8 + 4k = 5k + 14 Reorder the terms: 8 + 4k = 14 + 5k Solving 8 + 4k = 14 + 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 + 4k + -5k = 14 + 5k + -5k Combine like terms: 4k + -5k = -1k 8 + -1k = 14 + 5k + -5k Combine like terms: 5k + -5k = 0 8 + -1k = 14 + 0 8 + -1k = 14 Add '-8' to each side of the equation. 8 + -8 + -1k = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 14 + -8 -1k = 14 + -8 Combine like terms: 14 + -8 = 6 -1k = 6 Divide each side by '-1'. k = -6 Simplifying k = -6
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