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Simplifying -42 + 4k = k + -4k Combine like terms: k + -4k = -3k -42 + 4k = -3k Solving -42 + 4k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -42 + 4k + 3k = -3k + 3k Combine like terms: 4k + 3k = 7k -42 + 7k = -3k + 3k Combine like terms: -3k + 3k = 0 -42 + 7k = 0 Add '42' to each side of the equation. -42 + 42 + 7k = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 7k = 0 + 42 7k = 0 + 42 Combine like terms: 0 + 42 = 42 7k = 42 Divide each side by '7'. k = 6 Simplifying k = 6
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