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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 = 24 8k = 24 Divide each side by '8'. k = 3 Simplifying k = 3
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