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Simplifying -5k + -1 = 15 + -1k + -2k Reorder the terms: -1 + -5k = 15 + -1k + -2k Combine like terms: -1k + -2k = -3k -1 + -5k = 15 + -3k Solving -1 + -5k = 15 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -1 + -5k + 3k = 15 + -3k + 3k Combine like terms: -5k + 3k = -2k -1 + -2k = 15 + -3k + 3k Combine like terms: -3k + 3k = 0 -1 + -2k = 15 + 0 -1 + -2k = 15 Add '1' to each side of the equation. -1 + 1 + -2k = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -2k = 15 + 1 -2k = 15 + 1 Combine like terms: 15 + 1 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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