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Simplifying 12 + 5k + -8 = 12k + -10 Reorder the terms: 12 + -8 + 5k = 12k + -10 Combine like terms: 12 + -8 = 4 4 + 5k = 12k + -10 Reorder the terms: 4 + 5k = -10 + 12k Solving 4 + 5k = -10 + 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. 4 + 5k + -12k = -10 + 12k + -12k Combine like terms: 5k + -12k = -7k 4 + -7k = -10 + 12k + -12k Combine like terms: 12k + -12k = 0 4 + -7k = -10 + 0 4 + -7k = -10 Add '-4' to each side of the equation. 4 + -4 + -7k = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7k = -10 + -4 -7k = -10 + -4 Combine like terms: -10 + -4 = -14 -7k = -14 Divide each side by '-7'. k = 2 Simplifying k = 2
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