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Simplifying 8k + -7 = -1k + 5k + -11 Reorder the terms: -7 + 8k = -1k + 5k + -11 Reorder the terms: -7 + 8k = -11 + -1k + 5k Combine like terms: -1k + 5k = 4k -7 + 8k = -11 + 4k Solving -7 + 8k = -11 + 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. -7 + 8k + -4k = -11 + 4k + -4k Combine like terms: 8k + -4k = 4k -7 + 4k = -11 + 4k + -4k Combine like terms: 4k + -4k = 0 -7 + 4k = -11 + 0 -7 + 4k = -11 Add '7' to each side of the equation. -7 + 7 + 4k = -11 + 7 Combine like terms: -7 + 7 = 0 0 + 4k = -11 + 7 4k = -11 + 7 Combine like terms: -11 + 7 = -4 4k = -4 Divide each side by '4'. k = -1 Simplifying k = -1
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