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Simplifying 7k + -21 = 4k + 9 Reorder the terms: -21 + 7k = 4k + 9 Reorder the terms: -21 + 7k = 9 + 4k Solving -21 + 7k = 9 + 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. -21 + 7k + -4k = 9 + 4k + -4k Combine like terms: 7k + -4k = 3k -21 + 3k = 9 + 4k + -4k Combine like terms: 4k + -4k = 0 -21 + 3k = 9 + 0 -21 + 3k = 9 Add '21' to each side of the equation. -21 + 21 + 3k = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 3k = 9 + 21 3k = 9 + 21 Combine like terms: 9 + 21 = 30 3k = 30 Divide each side by '3'. k = 10 Simplifying k = 10
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