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Simplifying 4(-9k + 3) = 3(12k + 4) + -3k Reorder the terms: 4(3 + -9k) = 3(12k + 4) + -3k (3 * 4 + -9k * 4) = 3(12k + 4) + -3k (12 + -36k) = 3(12k + 4) + -3k Reorder the terms: 12 + -36k = 3(4 + 12k) + -3k 12 + -36k = (4 * 3 + 12k * 3) + -3k 12 + -36k = (12 + 36k) + -3k Combine like terms: 36k + -3k = 33k 12 + -36k = 12 + 33k Add '-12' to each side of the equation. 12 + -12 + -36k = 12 + -12 + 33k Combine like terms: 12 + -12 = 0 0 + -36k = 12 + -12 + 33k -36k = 12 + -12 + 33k Combine like terms: 12 + -12 = 0 -36k = 0 + 33k -36k = 33k Solving -36k = 33k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-33k' to each side of the equation. -36k + -33k = 33k + -33k Combine like terms: -36k + -33k = -69k -69k = 33k + -33k Combine like terms: 33k + -33k = 0 -69k = 0 Divide each side by '-69'. k = 0 Simplifying k = 0
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