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Simplifying -7(5 + -5k) = 175 (5 * -7 + -5k * -7) = 175 (-35 + 35k) = 175 Solving -35 + 35k = 175 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 35k = 175 + 35 Combine like terms: -35 + 35 = 0 0 + 35k = 175 + 35 35k = 175 + 35 Combine like terms: 175 + 35 = 210 35k = 210 Divide each side by '35'. k = 6 Simplifying k = 6
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