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Simplifying -5 + -3k = -2 + k + 5 Reorder the terms: -5 + -3k = -2 + 5 + k Combine like terms: -2 + 5 = 3 -5 + -3k = 3 + k Solving -5 + -3k = 3 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -5 + -3k + -1k = 3 + k + -1k Combine like terms: -3k + -1k = -4k -5 + -4k = 3 + k + -1k Combine like terms: k + -1k = 0 -5 + -4k = 3 + 0 -5 + -4k = 3 Add '5' to each side of the equation. -5 + 5 + -4k = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -4k = 3 + 5 -4k = 3 + 5 Combine like terms: 3 + 5 = 8 -4k = 8 Divide each side by '-4'. k = -2 Simplifying k = -2
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