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Simplifying 5(-5 + 5k) = 39 + -7k (-5 * 5 + 5k * 5) = 39 + -7k (-25 + 25k) = 39 + -7k Solving -25 + 25k = 39 + -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. -25 + 25k + 7k = 39 + -7k + 7k Combine like terms: 25k + 7k = 32k -25 + 32k = 39 + -7k + 7k Combine like terms: -7k + 7k = 0 -25 + 32k = 39 + 0 -25 + 32k = 39 Add '25' to each side of the equation. -25 + 25 + 32k = 39 + 25 Combine like terms: -25 + 25 = 0 0 + 32k = 39 + 25 32k = 39 + 25 Combine like terms: 39 + 25 = 64 32k = 64 Divide each side by '32'. k = 2 Simplifying k = 2
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