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Simplifying -21 + 5k = k + -3k Combine like terms: k + -3k = -2k -21 + 5k = -2k Solving -21 + 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. -21 + 5k + 2k = -2k + 2k Combine like terms: 5k + 2k = 7k -21 + 7k = -2k + 2k Combine like terms: -2k + 2k = 0 -21 + 7k = 0 Add '21' to each side of the equation. -21 + 21 + 7k = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7k = 0 + 21 7k = 0 + 21 Combine like terms: 0 + 21 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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