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Simplifying 17 + 7k = -1(7 + 5k) 17 + 7k = (7 * -1 + 5k * -1) 17 + 7k = (-7 + -5k) Solving 17 + 7k = -7 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 17 + 7k + 5k = -7 + -5k + 5k Combine like terms: 7k + 5k = 12k 17 + 12k = -7 + -5k + 5k Combine like terms: -5k + 5k = 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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