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Simplifying 17 = 5k + -7 + 7k Reorder the terms: 17 = -7 + 5k + 7k Combine like terms: 5k + 7k = 12k 17 = -7 + 12k Solving 17 = -7 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 17 + -12k = -7 + 12k + -12k Combine like terms: 12k + -12k = 0 17 + -12k = -7 + 0 17 + -12k = -7 Add '-17' to each side of the equation. 17 + -17 + -12k = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -12k = -7 + -17 -12k = -7 + -17 Combine like terms: -7 + -17 = -24 -12k = -24 Divide each side by '-12'. k = 2 Simplifying k = 2
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