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Simplifying 8 + 2k + -1 = k + -2 + -5k Reorder the terms: 8 + -1 + 2k = k + -2 + -5k Combine like terms: 8 + -1 = 7 7 + 2k = k + -2 + -5k Reorder the terms: 7 + 2k = -2 + k + -5k Combine like terms: k + -5k = -4k 7 + 2k = -2 + -4k Solving 7 + 2k = -2 + -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 + 2k + 4k = -2 + -4k + 4k Combine like terms: 2k + 4k = 6k 7 + 6k = -2 + -4k + 4k Combine like terms: -4k + 4k = 0 7 + 6k = -2 + 0 7 + 6k = -2 Add '-7' to each side of the equation. 7 + -7 + 6k = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 6k = -2 + -7 6k = -2 + -7 Combine like terms: -2 + -7 = -9 6k = -9 Divide each side by '6'. k = -1.5 Simplifying k = -1.5
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