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Simplifying 3k + -1 = 4(5 + -1k) Reorder the terms: -1 + 3k = 4(5 + -1k) -1 + 3k = (5 * 4 + -1k * 4) -1 + 3k = (20 + -4k) Solving -1 + 3k = 20 + -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. -1 + 3k + 4k = 20 + -4k + 4k Combine like terms: 3k + 4k = 7k -1 + 7k = 20 + -4k + 4k Combine like terms: -4k + 4k = 0 -1 + 7k = 20 + 0 -1 + 7k = 20 Add '1' to each side of the equation. -1 + 1 + 7k = 20 + 1 Combine like terms: -1 + 1 = 0 0 + 7k = 20 + 1 7k = 20 + 1 Combine like terms: 20 + 1 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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