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Simplifying 3k + 4 = 7k + -12 Reorder the terms: 4 + 3k = 7k + -12 Reorder the terms: 4 + 3k = -12 + 7k Solving 4 + 3k = -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 + 3k + -7k = -12 + 7k + -7k Combine like terms: 3k + -7k = -4k 4 + -4k = -12 + 7k + -7k Combine like terms: 7k + -7k = 0 4 + -4k = -12 + 0 4 + -4k = -12 Add '-4' to each side of the equation. 4 + -4 + -4k = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4k = -12 + -4 -4k = -12 + -4 Combine like terms: -12 + -4 = -16 -4k = -16 Divide each side by '-4'. k = 4 Simplifying k = 4
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