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Simplifying 12k + -3(2k + -3) = 45 Reorder the terms: 12k + -3(-3 + 2k) = 45 12k + (-3 * -3 + 2k * -3) = 45 12k + (9 + -6k) = 45 Reorder the terms: 9 + 12k + -6k = 45 Combine like terms: 12k + -6k = 6k 9 + 6k = 45 Solving 9 + 6k = 45 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6k = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 6k = 45 + -9 6k = 45 + -9 Combine like terms: 45 + -9 = 36 6k = 36 Divide each side by '6'. k = 6 Simplifying k = 6
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