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Simplifying 10k + -3(8 + -5k) = -74 10k + (8 * -3 + -5k * -3) = -74 10k + (-24 + 15k) = -74 Reorder the terms: -24 + 10k + 15k = -74 Combine like terms: 10k + 15k = 25k -24 + 25k = -74 Solving -24 + 25k = -74 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 25k = -74 + 24 Combine like terms: -24 + 24 = 0 0 + 25k = -74 + 24 25k = -74 + 24 Combine like terms: -74 + 24 = -50 25k = -50 Divide each side by '25'. k = -2 Simplifying k = -2
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