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Simplifying -25 + -5k = -1(1 + 2k) -25 + -5k = (1 * -1 + 2k * -1) -25 + -5k = (-1 + -2k) Solving -25 + -5k = -1 + -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. -25 + -5k + 2k = -1 + -2k + 2k Combine like terms: -5k + 2k = -3k -25 + -3k = -1 + -2k + 2k Combine like terms: -2k + 2k = 0 -25 + -3k = -1 + 0 -25 + -3k = -1 Add '25' to each side of the equation. -25 + 25 + -3k = -1 + 25 Combine like terms: -25 + 25 = 0 0 + -3k = -1 + 25 -3k = -1 + 25 Combine like terms: -1 + 25 = 24 -3k = 24 Divide each side by '-3'. k = -8 Simplifying k = -8
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