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