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Simplifying 3k(-1) = 7k + 2 Reorder the terms for easier multiplication: 3 * -1k = 7k + 2 Multiply 3 * -1 -3k = 7k + 2 Reorder the terms: -3k = 2 + 7k Solving -3k = 2 + 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. -3k + -7k = 2 + 7k + -7k Combine like terms: -3k + -7k = -10k -10k = 2 + 7k + -7k Combine like terms: 7k + -7k = 0 -10k = 2 + 0 -10k = 2 Divide each side by '-10'. k = -0.2 Simplifying k = -0.2
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