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Simplifying 8k + -5(k + 4) = 0 Reorder the terms: 8k + -5(4 + k) = 0 8k + (4 * -5 + k * -5) = 0 8k + (-20 + -5k) = 0 Reorder the terms: -20 + 8k + -5k = 0 Combine like terms: 8k + -5k = 3k -20 + 3k = 0 Solving -20 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 3k = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 3k = 0 + 20 3k = 0 + 20 Combine like terms: 0 + 20 = 20 3k = 20 Divide each side by '3'. k = 6.666666667 Simplifying k = 6.666666667
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