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Simplifying 8 + -1k = -7 + -6k Solving 8 + -1k = -7 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 8 + -1k + 6k = -7 + -6k + 6k Combine like terms: -1k + 6k = 5k 8 + 5k = -7 + -6k + 6k Combine like terms: -6k + 6k = 0 8 + 5k = -7 + 0 8 + 5k = -7 Add '-8' to each side of the equation. 8 + -8 + 5k = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 5k = -7 + -8 5k = -7 + -8 Combine like terms: -7 + -8 = -15 5k = -15 Divide each side by '5'. k = -3 Simplifying k = -3
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