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Simplifying 7k + -9 = 2 + 4k Reorder the terms: -9 + 7k = 2 + 4k Solving -9 + 7k = 2 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -9 + 7k + -4k = 2 + 4k + -4k Combine like terms: 7k + -4k = 3k -9 + 3k = 2 + 4k + -4k Combine like terms: 4k + -4k = 0 -9 + 3k = 2 + 0 -9 + 3k = 2 Add '9' to each side of the equation. -9 + 9 + 3k = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 3k = 2 + 9 3k = 2 + 9 Combine like terms: 2 + 9 = 11 3k = 11 Divide each side by '3'. k = 3.666666667 Simplifying k = 3.666666667
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