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Simplifying 4k + -1(3 + 3k) = 2 4k + (3 * -1 + 3k * -1) = 2 4k + (-3 + -3k) = 2 Reorder the terms: -3 + 4k + -3k = 2 Combine like terms: 4k + -3k = 1k -3 + 1k = 2 Solving -3 + 1k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1k = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 1k = 2 + 3 1k = 2 + 3 Combine like terms: 2 + 3 = 5 1k = 5 Divide each side by '1'. k = 5 Simplifying k = 5
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