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Simplifying -1(5k + 7) = -25 + -2k Reorder the terms: -1(7 + 5k) = -25 + -2k (7 * -1 + 5k * -1) = -25 + -2k (-7 + -5k) = -25 + -2k Solving -7 + -5k = -25 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -7 + -5k + 2k = -25 + -2k + 2k Combine like terms: -5k + 2k = -3k -7 + -3k = -25 + -2k + 2k Combine like terms: -2k + 2k = 0 -7 + -3k = -25 + 0 -7 + -3k = -25 Add '7' to each side of the equation. -7 + 7 + -3k = -25 + 7 Combine like terms: -7 + 7 = 0 0 + -3k = -25 + 7 -3k = -25 + 7 Combine like terms: -25 + 7 = -18 -3k = -18 Divide each side by '-3'. k = 6 Simplifying k = 6
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