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Simplifying 4k + -8k = 15 + 2 + k + 3 Combine like terms: 4k + -8k = -4k -4k = 15 + 2 + k + 3 Reorder the terms: -4k = 15 + 2 + 3 + k Combine like terms: 15 + 2 = 17 -4k = 17 + 3 + k Combine like terms: 17 + 3 = 20 -4k = 20 + k Solving -4k = 20 + 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. -4k + -1k = 20 + k + -1k Combine like terms: -4k + -1k = -5k -5k = 20 + k + -1k Combine like terms: k + -1k = 0 -5k = 20 + 0 -5k = 20 Divide each side by '-5'. k = -4 Simplifying k = -4
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