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Simplifying 4k + 8 = -2k + -14 Reorder the terms: 8 + 4k = -2k + -14 Reorder the terms: 8 + 4k = -14 + -2k Solving 8 + 4k = -14 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 8 + 4k + 2k = -14 + -2k + 2k Combine like terms: 4k + 2k = 6k 8 + 6k = -14 + -2k + 2k Combine like terms: -2k + 2k = 0 8 + 6k = -14 + 0 8 + 6k = -14 Add '-8' to each side of the equation. 8 + -8 + 6k = -14 + -8 Combine like terms: 8 + -8 = 0 0 + 6k = -14 + -8 6k = -14 + -8 Combine like terms: -14 + -8 = -22 6k = -22 Divide each side by '6'. k = -3.666666667 Simplifying k = -3.666666667
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