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Simplifying 2k + -5 + -3k = 8 + -4k + 1 Reorder the terms: -5 + 2k + -3k = 8 + -4k + 1 Combine like terms: 2k + -3k = -1k -5 + -1k = 8 + -4k + 1 Reorder the terms: -5 + -1k = 8 + 1 + -4k Combine like terms: 8 + 1 = 9 -5 + -1k = 9 + -4k Solving -5 + -1k = 9 + -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. -5 + -1k + 4k = 9 + -4k + 4k Combine like terms: -1k + 4k = 3k -5 + 3k = 9 + -4k + 4k Combine like terms: -4k + 4k = 0 -5 + 3k = 9 + 0 -5 + 3k = 9 Add '5' to each side of the equation. -5 + 5 + 3k = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 3k = 9 + 5 3k = 9 + 5 Combine like terms: 9 + 5 = 14 3k = 14 Divide each side by '3'. k = 4.666666667 Simplifying k = 4.666666667
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