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Simplifying 3(4k + -8) = 31 + 9k Reorder the terms: 3(-8 + 4k) = 31 + 9k (-8 * 3 + 4k * 3) = 31 + 9k (-24 + 12k) = 31 + 9k Solving -24 + 12k = 31 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -24 + 12k + -9k = 31 + 9k + -9k Combine like terms: 12k + -9k = 3k -24 + 3k = 31 + 9k + -9k Combine like terms: 9k + -9k = 0 -24 + 3k = 31 + 0 -24 + 3k = 31 Add '24' to each side of the equation. -24 + 24 + 3k = 31 + 24 Combine like terms: -24 + 24 = 0 0 + 3k = 31 + 24 3k = 31 + 24 Combine like terms: 31 + 24 = 55 3k = 55 Divide each side by '3'. k = 18.33333333 Simplifying k = 18.33333333
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