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Simplifying 5k + -4 = 7k + 12 Reorder the terms: -4 + 5k = 7k + 12 Reorder the terms: -4 + 5k = 12 + 7k Solving -4 + 5k = 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. -4 + 5k + -7k = 12 + 7k + -7k Combine like terms: 5k + -7k = -2k -4 + -2k = 12 + 7k + -7k Combine like terms: 7k + -7k = 0 -4 + -2k = 12 + 0 -4 + -2k = 12 Add '4' to each side of the equation. -4 + 4 + -2k = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2k = 12 + 4 -2k = 12 + 4 Combine like terms: 12 + 4 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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