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Simplifying 1 + -1k + 7 = -4 + -5k Reorder the terms: 1 + 7 + -1k = -4 + -5k Combine like terms: 1 + 7 = 8 8 + -1k = -4 + -5k Solving 8 + -1k = -4 + -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 + -1k + 5k = -4 + -5k + 5k Combine like terms: -1k + 5k = 4k 8 + 4k = -4 + -5k + 5k Combine like terms: -5k + 5k = 0 8 + 4k = -4 + 0 8 + 4k = -4 Add '-8' to each side of the equation. 8 + -8 + 4k = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 4k = -4 + -8 4k = -4 + -8 Combine like terms: -4 + -8 = -12 4k = -12 Divide each side by '4'. k = -3 Simplifying k = -3
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