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Simplifying 5(k + 4) = 4 + -3k Reorder the terms: 5(4 + k) = 4 + -3k (4 * 5 + k * 5) = 4 + -3k (20 + 5k) = 4 + -3k Solving 20 + 5k = 4 + -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. 20 + 5k + 3k = 4 + -3k + 3k Combine like terms: 5k + 3k = 8k 20 + 8k = 4 + -3k + 3k Combine like terms: -3k + 3k = 0 20 + 8k = 4 + 0 20 + 8k = 4 Add '-20' to each side of the equation. 20 + -20 + 8k = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 8k = 4 + -20 8k = 4 + -20 Combine like terms: 4 + -20 = -16 8k = -16 Divide each side by '8'. k = -2 Simplifying k = -2
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