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Simplifying 6k + -1(4 + k) = -1(7k + 4) 6k + (4 * -1 + k * -1) = -1(7k + 4) 6k + (-4 + -1k) = -1(7k + 4) Reorder the terms: -4 + 6k + -1k = -1(7k + 4) Combine like terms: 6k + -1k = 5k -4 + 5k = -1(7k + 4) Reorder the terms: -4 + 5k = -1(4 + 7k) -4 + 5k = (4 * -1 + 7k * -1) -4 + 5k = (-4 + -7k) Add '4' to each side of the equation. -4 + 4 + 5k = -4 + 4 + -7k Combine like terms: -4 + 4 = 0 0 + 5k = -4 + 4 + -7k 5k = -4 + 4 + -7k Combine like terms: -4 + 4 = 0 5k = 0 + -7k 5k = -7k Solving 5k = -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. 5k + 7k = -7k + 7k Combine like terms: 5k + 7k = 12k 12k = -7k + 7k Combine like terms: -7k + 7k = 0 12k = 0 Divide each side by '12'. k = 0 Simplifying k = 0
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