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Simplifying 5k + 12 = 7k + -16 Reorder the terms: 12 + 5k = 7k + -16 Reorder the terms: 12 + 5k = -16 + 7k Solving 12 + 5k = -16 + 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. 12 + 5k + -7k = -16 + 7k + -7k Combine like terms: 5k + -7k = -2k 12 + -2k = -16 + 7k + -7k Combine like terms: 7k + -7k = 0 12 + -2k = -16 + 0 12 + -2k = -16 Add '-12' to each side of the equation. 12 + -12 + -2k = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -2k = -16 + -12 -2k = -16 + -12 Combine like terms: -16 + -12 = -28 -2k = -28 Divide each side by '-2'. k = 14 Simplifying k = 14
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