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Simplifying 9 + 2k = -1(1 + -7k) 9 + 2k = (1 * -1 + -7k * -1) 9 + 2k = (-1 + 7k) Solving 9 + 2k = -1 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 9 + 2k + -7k = -1 + 7k + -7k Combine like terms: 2k + -7k = -5k 9 + -5k = -1 + 7k + -7k Combine like terms: 7k + -7k = 0 9 + -5k = -1 + 0 9 + -5k = -1 Add '-9' to each side of the equation. 9 + -9 + -5k = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -5k = -1 + -9 -5k = -1 + -9 Combine like terms: -1 + -9 = -10 -5k = -10 Divide each side by '-5'. k = 2 Simplifying k = 2
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