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Simplifying 17 = 8k + -4 + -5k Reorder the terms: 17 = -4 + 8k + -5k Combine like terms: 8k + -5k = 3k 17 = -4 + 3k Solving 17 = -4 + 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 = -4 + 3k + -3k Combine like terms: 3k + -3k = 0 17 + -3k = -4 + 0 17 + -3k = -4 Add '-17' to each side of the equation. 17 + -17 + -3k = -4 + -17 Combine like terms: 17 + -17 = 0 0 + -3k = -4 + -17 -3k = -4 + -17 Combine like terms: -4 + -17 = -21 -3k = -21 Divide each side by '-3'. k = 7 Simplifying k = 7
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