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Simplifying -5(-8 + 4k) + -1(1 + -8k) = 0 (-8 * -5 + 4k * -5) + -1(1 + -8k) = 0 (40 + -20k) + -1(1 + -8k) = 0 40 + -20k + (1 * -1 + -8k * -1) = 0 40 + -20k + (-1 + 8k) = 0 Reorder the terms: 40 + -1 + -20k + 8k = 0 Combine like terms: 40 + -1 = 39 39 + -20k + 8k = 0 Combine like terms: -20k + 8k = -12k 39 + -12k = 0 Solving 39 + -12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -12k = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -12k = 0 + -39 -12k = 0 + -39 Combine like terms: 0 + -39 = -39 -12k = -39 Divide each side by '-12'. k = 3.25 Simplifying k = 3.25
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