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Simplifying 25 = -8(7k + 6) Reorder the terms: 25 = -8(6 + 7k) 25 = (6 * -8 + 7k * -8) 25 = (-48 + -56k) Solving 25 = -48 + -56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56k' to each side of the equation. 25 + 56k = -48 + -56k + 56k Combine like terms: -56k + 56k = 0 25 + 56k = -48 + 0 25 + 56k = -48 Add '-25' to each side of the equation. 25 + -25 + 56k = -48 + -25 Combine like terms: 25 + -25 = 0 0 + 56k = -48 + -25 56k = -48 + -25 Combine like terms: -48 + -25 = -73 56k = -73 Divide each side by '56'. k = -1.303571429 Simplifying k = -1.303571429
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