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Simplifying 7k + -21 = 3k + 5 Reorder the terms: -21 + 7k = 3k + 5 Reorder the terms: -21 + 7k = 5 + 3k Solving -21 + 7k = 5 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -21 + 7k + -3k = 5 + 3k + -3k Combine like terms: 7k + -3k = 4k -21 + 4k = 5 + 3k + -3k Combine like terms: 3k + -3k = 0 -21 + 4k = 5 + 0 -21 + 4k = 5 Add '21' to each side of the equation. -21 + 21 + 4k = 5 + 21 Combine like terms: -21 + 21 = 0 0 + 4k = 5 + 21 4k = 5 + 21 Combine like terms: 5 + 21 = 26 4k = 26 Divide each side by '4'. k = 6.5 Simplifying k = 6.5
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