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Simplifying -3(3 + -5k) = 12k + 3 (3 * -3 + -5k * -3) = 12k + 3 (-9 + 15k) = 12k + 3 Reorder the terms: -9 + 15k = 3 + 12k Solving -9 + 15k = 3 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -9 + 15k + -12k = 3 + 12k + -12k Combine like terms: 15k + -12k = 3k -9 + 3k = 3 + 12k + -12k Combine like terms: 12k + -12k = 0 -9 + 3k = 3 + 0 -9 + 3k = 3 Add '9' to each side of the equation. -9 + 9 + 3k = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 3k = 3 + 9 3k = 3 + 9 Combine like terms: 3 + 9 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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