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Simplifying 3(-7k + 2) = -1(-6 + -5k) + 2k Reorder the terms: 3(2 + -7k) = -1(-6 + -5k) + 2k (2 * 3 + -7k * 3) = -1(-6 + -5k) + 2k (6 + -21k) = -1(-6 + -5k) + 2k 6 + -21k = (-6 * -1 + -5k * -1) + 2k 6 + -21k = (6 + 5k) + 2k Combine like terms: 5k + 2k = 7k 6 + -21k = 6 + 7k Add '-6' to each side of the equation. 6 + -6 + -21k = 6 + -6 + 7k Combine like terms: 6 + -6 = 0 0 + -21k = 6 + -6 + 7k -21k = 6 + -6 + 7k Combine like terms: 6 + -6 = 0 -21k = 0 + 7k -21k = 7k Solving -21k = 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. -21k + -7k = 7k + -7k Combine like terms: -21k + -7k = -28k -28k = 7k + -7k Combine like terms: 7k + -7k = 0 -28k = 0 Divide each side by '-28'. k = 0 Simplifying k = 0
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