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Simplifying -17 + -4k = 3k + 13 + -5k Reorder the terms: -17 + -4k = 13 + 3k + -5k Combine like terms: 3k + -5k = -2k -17 + -4k = 13 + -2k Solving -17 + -4k = 13 + -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. -17 + -4k + 2k = 13 + -2k + 2k Combine like terms: -4k + 2k = -2k -17 + -2k = 13 + -2k + 2k Combine like terms: -2k + 2k = 0 -17 + -2k = 13 + 0 -17 + -2k = 13 Add '17' to each side of the equation. -17 + 17 + -2k = 13 + 17 Combine like terms: -17 + 17 = 0 0 + -2k = 13 + 17 -2k = 13 + 17 Combine like terms: 13 + 17 = 30 -2k = 30 Divide each side by '-2'. k = -15 Simplifying k = -15
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