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Simplifying 3(4k + -1) = 9k Reorder the terms: 3(-1 + 4k) = 9k (-1 * 3 + 4k * 3) = 9k (-3 + 12k) = 9k Solving -3 + 12k = 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. -3 + 12k + -9k = 9k + -9k Combine like terms: 12k + -9k = 3k -3 + 3k = 9k + -9k Combine like terms: 9k + -9k = 0 -3 + 3k = 0 Add '3' to each side of the equation. -3 + 3 + 3k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = 0 + 3 3k = 0 + 3 Combine like terms: 0 + 3 = 3 3k = 3 Divide each side by '3'. k = 1 Simplifying k = 1
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