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Simplifying 8k + 5 = 2k + -11 Reorder the terms: 5 + 8k = 2k + -11 Reorder the terms: 5 + 8k = -11 + 2k Solving 5 + 8k = -11 + 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. 5 + 8k + -2k = -11 + 2k + -2k Combine like terms: 8k + -2k = 6k 5 + 6k = -11 + 2k + -2k Combine like terms: 2k + -2k = 0 5 + 6k = -11 + 0 5 + 6k = -11 Add '-5' to each side of the equation. 5 + -5 + 6k = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 6k = -11 + -5 6k = -11 + -5 Combine like terms: -11 + -5 = -16 6k = -16 Divide each side by '6'. k = -2.666666667 Simplifying k = -2.666666667
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