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Simplifying -5(1 + -4k) = 19 + 8k (1 * -5 + -4k * -5) = 19 + 8k (-5 + 20k) = 19 + 8k Solving -5 + 20k = 19 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -5 + 20k + -8k = 19 + 8k + -8k Combine like terms: 20k + -8k = 12k -5 + 12k = 19 + 8k + -8k Combine like terms: 8k + -8k = 0 -5 + 12k = 19 + 0 -5 + 12k = 19 Add '5' to each side of the equation. -5 + 5 + 12k = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 12k = 19 + 5 12k = 19 + 5 Combine like terms: 19 + 5 = 24 12k = 24 Divide each side by '12'. k = 2 Simplifying k = 2
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