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Simplifying k + -3 = 6k + 5 + -8k Reorder the terms: -3 + k = 6k + 5 + -8k Reorder the terms: -3 + k = 5 + 6k + -8k Combine like terms: 6k + -8k = -2k -3 + k = 5 + -2k Solving -3 + k = 5 + -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. -3 + k + 2k = 5 + -2k + 2k Combine like terms: k + 2k = 3k -3 + 3k = 5 + -2k + 2k Combine like terms: -2k + 2k = 0 -3 + 3k = 5 + 0 -3 + 3k = 5 Add '3' to each side of the equation. -3 + 3 + 3k = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = 5 + 3 3k = 5 + 3 Combine like terms: 5 + 3 = 8 3k = 8 Divide each side by '3'. k = 2.666666667 Simplifying k = 2.666666667
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