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Simplifying -1k + -3(1 + 2k) = 2(1 + -6k) -1k + (1 * -3 + 2k * -3) = 2(1 + -6k) -1k + (-3 + -6k) = 2(1 + -6k) Reorder the terms: -3 + -1k + -6k = 2(1 + -6k) Combine like terms: -1k + -6k = -7k -3 + -7k = 2(1 + -6k) -3 + -7k = (1 * 2 + -6k * 2) -3 + -7k = (2 + -12k) Solving -3 + -7k = 2 + -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. -3 + -7k + 12k = 2 + -12k + 12k Combine like terms: -7k + 12k = 5k -3 + 5k = 2 + -12k + 12k Combine like terms: -12k + 12k = 0 -3 + 5k = 2 + 0 -3 + 5k = 2 Add '3' to each side of the equation. -3 + 3 + 5k = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 5k = 2 + 3 5k = 2 + 3 Combine like terms: 2 + 3 = 5 5k = 5 Divide each side by '5'. k = 1 Simplifying k = 1
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