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Simplifying 9 + -4k = 12 + -7k Solving 9 + -4k = 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. 9 + -4k + 7k = 12 + -7k + 7k Combine like terms: -4k + 7k = 3k 9 + 3k = 12 + -7k + 7k Combine like terms: -7k + 7k = 0 9 + 3k = 12 + 0 9 + 3k = 12 Add '-9' to each side of the equation. 9 + -9 + 3k = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 3k = 12 + -9 3k = 12 + -9 Combine like terms: 12 + -9 = 3 3k = 3 Divide each side by '3'. k = 1 Simplifying k = 1
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