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Simplifying -7k + 6(-1 + 5k) = -1(6 + 8k) -7k + (-1 * 6 + 5k * 6) = -1(6 + 8k) -7k + (-6 + 30k) = -1(6 + 8k) Reorder the terms: -6 + -7k + 30k = -1(6 + 8k) Combine like terms: -7k + 30k = 23k -6 + 23k = -1(6 + 8k) -6 + 23k = (6 * -1 + 8k * -1) -6 + 23k = (-6 + -8k) Add '6' to each side of the equation. -6 + 6 + 23k = -6 + 6 + -8k Combine like terms: -6 + 6 = 0 0 + 23k = -6 + 6 + -8k 23k = -6 + 6 + -8k Combine like terms: -6 + 6 = 0 23k = 0 + -8k 23k = -8k Solving 23k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 23k + 8k = -8k + 8k Combine like terms: 23k + 8k = 31k 31k = -8k + 8k Combine like terms: -8k + 8k = 0 31k = 0 Divide each side by '31'. k = 0 Simplifying k = 0
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