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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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