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Simplifying -3(5 + -8k) = 23 + 5k (5 * -3 + -8k * -3) = 23 + 5k (-15 + 24k) = 23 + 5k Solving -15 + 24k = 23 + 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. -15 + 24k + -5k = 23 + 5k + -5k Combine like terms: 24k + -5k = 19k -15 + 19k = 23 + 5k + -5k Combine like terms: 5k + -5k = 0 -15 + 19k = 23 + 0 -15 + 19k = 23 Add '15' to each side of the equation. -15 + 15 + 19k = 23 + 15 Combine like terms: -15 + 15 = 0 0 + 19k = 23 + 15 19k = 23 + 15 Combine like terms: 23 + 15 = 38 19k = 38 Divide each side by '19'. k = 2 Simplifying k = 2
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