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Simplifying -5(-7k + 2) = -10 + -8k Reorder the terms: -5(2 + -7k) = -10 + -8k (2 * -5 + -7k * -5) = -10 + -8k (-10 + 35k) = -10 + -8k Add '10' to each side of the equation. -10 + 10 + 35k = -10 + 10 + -8k Combine like terms: -10 + 10 = 0 0 + 35k = -10 + 10 + -8k 35k = -10 + 10 + -8k Combine like terms: -10 + 10 = 0 35k = 0 + -8k 35k = -8k Solving 35k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 35k + 8k = -8k + 8k Combine like terms: 35k + 8k = 43k 43k = -8k + 8k Combine like terms: -8k + 8k = 0 43k = 0 Divide each side by '43'. k = 0 Simplifying k = 0
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