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Simplifying -8 + -7(4 + 8k) = 5k + 25 -8 + (4 * -7 + 8k * -7) = 5k + 25 -8 + (-28 + -56k) = 5k + 25 Combine like terms: -8 + -28 = -36 -36 + -56k = 5k + 25 Reorder the terms: -36 + -56k = 25 + 5k Solving -36 + -56k = 25 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -36 + -56k + -5k = 25 + 5k + -5k Combine like terms: -56k + -5k = -61k -36 + -61k = 25 + 5k + -5k Combine like terms: 5k + -5k = 0 -36 + -61k = 25 + 0 -36 + -61k = 25 Add '36' to each side of the equation. -36 + 36 + -61k = 25 + 36 Combine like terms: -36 + 36 = 0 0 + -61k = 25 + 36 -61k = 25 + 36 Combine like terms: 25 + 36 = 61 -61k = 61 Divide each side by '-61'. k = -1 Simplifying k = -1
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