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Simplifying -5(1 + -8k) = -4k + -5 (1 * -5 + -8k * -5) = -4k + -5 (-5 + 40k) = -4k + -5 Reorder the terms: -5 + 40k = -5 + -4k Add '5' to each side of the equation. -5 + 5 + 40k = -5 + 5 + -4k Combine like terms: -5 + 5 = 0 0 + 40k = -5 + 5 + -4k 40k = -5 + 5 + -4k Combine like terms: -5 + 5 = 0 40k = 0 + -4k 40k = -4k Solving 40k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 40k + 4k = -4k + 4k Combine like terms: 40k + 4k = 44k 44k = -4k + 4k Combine like terms: -4k + 4k = 0 44k = 0 Divide each side by '44'. k = 0 Simplifying k = 0
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