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Simplifying 8(5k + -5) = -40 + -7k Reorder the terms: 8(-5 + 5k) = -40 + -7k (-5 * 8 + 5k * 8) = -40 + -7k (-40 + 40k) = -40 + -7k Add '40' to each side of the equation. -40 + 40 + 40k = -40 + 40 + -7k Combine like terms: -40 + 40 = 0 0 + 40k = -40 + 40 + -7k 40k = -40 + 40 + -7k Combine like terms: -40 + 40 = 0 40k = 0 + -7k 40k = -7k Solving 40k = -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 40k + 7k = -7k + 7k Combine like terms: 40k + 7k = 47k 47k = -7k + 7k Combine like terms: -7k + 7k = 0 47k = 0 Divide each side by '47'. k = 0 Simplifying k = 0
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