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Simplifying 7k + 12 = 19k + -12 Reorder the terms: 12 + 7k = 19k + -12 Reorder the terms: 12 + 7k = -12 + 19k Solving 12 + 7k = -12 + 19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19k' to each side of the equation. 12 + 7k + -19k = -12 + 19k + -19k Combine like terms: 7k + -19k = -12k 12 + -12k = -12 + 19k + -19k Combine like terms: 19k + -19k = 0 12 + -12k = -12 + 0 12 + -12k = -12 Add '-12' to each side of the equation. 12 + -12 + -12k = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -12k = -12 + -12 -12k = -12 + -12 Combine like terms: -12 + -12 = -24 -12k = -24 Divide each side by '-12'. k = 2 Simplifying k = 2
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