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Simplifying 4k + -1(4 + k) = -1(4k + 4) 4k + (4 * -1 + k * -1) = -1(4k + 4) 4k + (-4 + -1k) = -1(4k + 4) Reorder the terms: -4 + 4k + -1k = -1(4k + 4) Combine like terms: 4k + -1k = 3k -4 + 3k = -1(4k + 4) Reorder the terms: -4 + 3k = -1(4 + 4k) -4 + 3k = (4 * -1 + 4k * -1) -4 + 3k = (-4 + -4k) Add '4' to each side of the equation. -4 + 4 + 3k = -4 + 4 + -4k Combine like terms: -4 + 4 = 0 0 + 3k = -4 + 4 + -4k 3k = -4 + 4 + -4k Combine like terms: -4 + 4 = 0 3k = 0 + -4k 3k = -4k Solving 3k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 3k + 4k = -4k + 4k Combine like terms: 3k + 4k = 7k 7k = -4k + 4k Combine like terms: -4k + 4k = 0 7k = 0 Divide each side by '7'. k = 0 Simplifying k = 0
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