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Simplifying 21 + 19k = 42 + 12k Solving 21 + 19k = 42 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 21 + 19k + -12k = 42 + 12k + -12k Combine like terms: 19k + -12k = 7k 21 + 7k = 42 + 12k + -12k Combine like terms: 12k + -12k = 0 21 + 7k = 42 + 0 21 + 7k = 42 Add '-21' to each side of the equation. 21 + -21 + 7k = 42 + -21 Combine like terms: 21 + -21 = 0 0 + 7k = 42 + -21 7k = 42 + -21 Combine like terms: 42 + -21 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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