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Simplifying 3(2k + 4) = -54 Reorder the terms: 3(4 + 2k) = -54 (4 * 3 + 2k * 3) = -54 (12 + 6k) = -54 Solving 12 + 6k = -54 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6k = -54 + -12 Combine like terms: 12 + -12 = 0 0 + 6k = -54 + -12 6k = -54 + -12 Combine like terms: -54 + -12 = -66 6k = -66 Divide each side by '6'. k = -11 Simplifying k = -11
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