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Simplifying 51 + -7k = 6k + 12 Reorder the terms: 51 + -7k = 12 + 6k Solving 51 + -7k = 12 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 51 + -7k + -6k = 12 + 6k + -6k Combine like terms: -7k + -6k = -13k 51 + -13k = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 51 + -13k = 12 + 0 51 + -13k = 12 Add '-51' to each side of the equation. 51 + -51 + -13k = 12 + -51 Combine like terms: 51 + -51 = 0 0 + -13k = 12 + -51 -13k = 12 + -51 Combine like terms: 12 + -51 = -39 -13k = -39 Divide each side by '-13'. k = 3 Simplifying k = 3
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