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Simplifying 25 + 5k = -3(-3 + -7k) 25 + 5k = (-3 * -3 + -7k * -3) 25 + 5k = (9 + 21k) Solving 25 + 5k = 9 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 25 + 5k + -21k = 9 + 21k + -21k Combine like terms: 5k + -21k = -16k 25 + -16k = 9 + 21k + -21k Combine like terms: 21k + -21k = 0 25 + -16k = 9 + 0 25 + -16k = 9 Add '-25' to each side of the equation. 25 + -25 + -16k = 9 + -25 Combine like terms: 25 + -25 = 0 0 + -16k = 9 + -25 -16k = 9 + -25 Combine like terms: 9 + -25 = -16 -16k = -16 Divide each side by '-16'. k = 1 Simplifying k = 1
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