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Simplifying -5(7 + -8k) + -7k = 3 + -5k (7 * -5 + -8k * -5) + -7k = 3 + -5k (-35 + 40k) + -7k = 3 + -5k Combine like terms: 40k + -7k = 33k -35 + 33k = 3 + -5k Solving -35 + 33k = 3 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -35 + 33k + 5k = 3 + -5k + 5k Combine like terms: 33k + 5k = 38k -35 + 38k = 3 + -5k + 5k Combine like terms: -5k + 5k = 0 -35 + 38k = 3 + 0 -35 + 38k = 3 Add '35' to each side of the equation. -35 + 35 + 38k = 3 + 35 Combine like terms: -35 + 35 = 0 0 + 38k = 3 + 35 38k = 3 + 35 Combine like terms: 3 + 35 = 38 38k = 38 Divide each side by '38'. k = 1 Simplifying k = 1
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