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Simplifying 4k + -1(5 + k) = -1(7k + 5) 4k + (5 * -1 + k * -1) = -1(7k + 5) 4k + (-5 + -1k) = -1(7k + 5) Reorder the terms: -5 + 4k + -1k = -1(7k + 5) Combine like terms: 4k + -1k = 3k -5 + 3k = -1(7k + 5) Reorder the terms: -5 + 3k = -1(5 + 7k) -5 + 3k = (5 * -1 + 7k * -1) -5 + 3k = (-5 + -7k) Add '5' to each side of the equation. -5 + 5 + 3k = -5 + 5 + -7k Combine like terms: -5 + 5 = 0 0 + 3k = -5 + 5 + -7k 3k = -5 + 5 + -7k Combine like terms: -5 + 5 = 0 3k = 0 + -7k 3k = -7k Solving 3k = -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 = -7k + 7k Combine like terms: 3k + 7k = 10k 10k = -7k + 7k Combine like terms: -7k + 7k = 0 10k = 0 Divide each side by '10'. k = 0.0 Simplifying k = 0.0
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