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Simplifying 2k + 8 = 7k + -12 Reorder the terms: 8 + 2k = 7k + -12 Reorder the terms: 8 + 2k = -12 + 7k Solving 8 + 2k = -12 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 8 + 2k + -7k = -12 + 7k + -7k Combine like terms: 2k + -7k = -5k 8 + -5k = -12 + 7k + -7k Combine like terms: 7k + -7k = 0 8 + -5k = -12 + 0 8 + -5k = -12 Add '-8' to each side of the equation. 8 + -8 + -5k = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5k = -12 + -8 -5k = -12 + -8 Combine like terms: -12 + -8 = -20 -5k = -20 Divide each side by '-5'. k = 4 Simplifying k = 4
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