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Simplifying -42 + 5k = k + -3k Combine like terms: k + -3k = -2k -42 + 5k = -2k Solving -42 + 5k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -42 + 5k + 2k = -2k + 2k Combine like terms: 5k + 2k = 7k -42 + 7k = -2k + 2k Combine like terms: -2k + 2k = 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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