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Simplifying -5(1 + -8k) = -5 + 3k (1 * -5 + -8k * -5) = -5 + 3k (-5 + 40k) = -5 + 3k Add '5' to each side of the equation. -5 + 5 + 40k = -5 + 5 + 3k Combine like terms: -5 + 5 = 0 0 + 40k = -5 + 5 + 3k 40k = -5 + 5 + 3k Combine like terms: -5 + 5 = 0 40k = 0 + 3k 40k = 3k Solving 40k = 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. 40k + -3k = 3k + -3k Combine like terms: 40k + -3k = 37k 37k = 3k + -3k Combine like terms: 3k + -3k = 0 37k = 0 Divide each side by '37'. k = 0 Simplifying k = 0
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