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Simplifying 2k + -6k + 9 = -6 + -8k + -1 Reorder the terms: 9 + 2k + -6k = -6 + -8k + -1 Combine like terms: 2k + -6k = -4k 9 + -4k = -6 + -8k + -1 Reorder the terms: 9 + -4k = -6 + -1 + -8k Combine like terms: -6 + -1 = -7 9 + -4k = -7 + -8k Solving 9 + -4k = -7 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 9 + -4k + 8k = -7 + -8k + 8k Combine like terms: -4k + 8k = 4k 9 + 4k = -7 + -8k + 8k Combine like terms: -8k + 8k = 0 9 + 4k = -7 + 0 9 + 4k = -7 Add '-9' to each side of the equation. 9 + -9 + 4k = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 4k = -7 + -9 4k = -7 + -9 Combine like terms: -7 + -9 = -16 4k = -16 Divide each side by '4'. k = -4 Simplifying k = -4
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