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Simplifying -250 = -5(-6 + 8k) -250 = (-6 * -5 + 8k * -5) -250 = (30 + -40k) Solving -250 = 30 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. -250 + 40k = 30 + -40k + 40k Combine like terms: -40k + 40k = 0 -250 + 40k = 30 + 0 -250 + 40k = 30 Add '250' to each side of the equation. -250 + 250 + 40k = 30 + 250 Combine like terms: -250 + 250 = 0 0 + 40k = 30 + 250 40k = 30 + 250 Combine like terms: 30 + 250 = 280 40k = 280 Divide each side by '40'. k = 7 Simplifying k = 7
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