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Simplifying -3k + -3(-2 + -5k) = 54 -3k + (-2 * -3 + -5k * -3) = 54 -3k + (6 + 15k) = 54 Reorder the terms: 6 + -3k + 15k = 54 Combine like terms: -3k + 15k = 12k 6 + 12k = 54 Solving 6 + 12k = 54 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12k = 54 + -6 Combine like terms: 6 + -6 = 0 0 + 12k = 54 + -6 12k = 54 + -6 Combine like terms: 54 + -6 = 48 12k = 48 Divide each side by '12'. k = 4 Simplifying k = 4
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