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Simplifying 3k + 4 = -5k + 20 Reorder the terms: 4 + 3k = -5k + 20 Reorder the terms: 4 + 3k = 20 + -5k Solving 4 + 3k = 20 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 4 + 3k + 5k = 20 + -5k + 5k Combine like terms: 3k + 5k = 8k 4 + 8k = 20 + -5k + 5k Combine like terms: -5k + 5k = 0 4 + 8k = 20 + 0 4 + 8k = 20 Add '-4' to each side of the equation. 4 + -4 + 8k = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 8k = 20 + -4 8k = 20 + -4 Combine like terms: 20 + -4 = 16 8k = 16 Divide each side by '8'. k = 2 Simplifying k = 2
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