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Simplifying 3 + -5k = 21 + 7k + -4k + -2 Reorder the terms: 3 + -5k = 21 + -2 + 7k + -4k Combine like terms: 21 + -2 = 19 3 + -5k = 19 + 7k + -4k Combine like terms: 7k + -4k = 3k 3 + -5k = 19 + 3k Solving 3 + -5k = 19 + 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. 3 + -5k + -3k = 19 + 3k + -3k Combine like terms: -5k + -3k = -8k 3 + -8k = 19 + 3k + -3k Combine like terms: 3k + -3k = 0 3 + -8k = 19 + 0 3 + -8k = 19 Add '-3' to each side of the equation. 3 + -3 + -8k = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -8k = 19 + -3 -8k = 19 + -3 Combine like terms: 19 + -3 = 16 -8k = 16 Divide each side by '-8'. k = -2 Simplifying k = -2
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