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Simplifying -17 = 7 + -2k + 5k Combine like terms: -2k + 5k = 3k -17 = 7 + 3k Solving -17 = 7 + 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. -17 + -3k = 7 + 3k + -3k Combine like terms: 3k + -3k = 0 -17 + -3k = 7 + 0 -17 + -3k = 7 Add '17' to each side of the equation. -17 + 17 + -3k = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -3k = 7 + 17 -3k = 7 + 17 Combine like terms: 7 + 17 = 24 -3k = 24 Divide each side by '-3'. k = -8 Simplifying k = -8
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