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Simplifying 4k + -5 = 8 + -2k Reorder the terms: -5 + 4k = 8 + -2k Solving -5 + 4k = 8 + -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 + 4k + 2k = 8 + -2k + 2k Combine like terms: 4k + 2k = 6k -5 + 6k = 8 + -2k + 2k Combine like terms: -2k + 2k = 0 -5 + 6k = 8 + 0 -5 + 6k = 8 Add '5' to each side of the equation. -5 + 5 + 6k = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 6k = 8 + 5 6k = 8 + 5 Combine like terms: 8 + 5 = 13 6k = 13 Divide each side by '6'. k = 2.166666667 Simplifying k = 2.166666667
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