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Simplifying -8(5 + -5k) = -40 + -6k (5 * -8 + -5k * -8) = -40 + -6k (-40 + 40k) = -40 + -6k Add '40' to each side of the equation. -40 + 40 + 40k = -40 + 40 + -6k Combine like terms: -40 + 40 = 0 0 + 40k = -40 + 40 + -6k 40k = -40 + 40 + -6k Combine like terms: -40 + 40 = 0 40k = 0 + -6k 40k = -6k Solving 40k = -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 40k + 6k = -6k + 6k Combine like terms: 40k + 6k = 46k 46k = -6k + 6k Combine like terms: -6k + 6k = 0 46k = 0 Divide each side by '46'. k = 0 Simplifying k = 0
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