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Simplifying -6(-2k + -5) + 42 = -144 Reorder the terms: -6(-5 + -2k) + 42 = -144 (-5 * -6 + -2k * -6) + 42 = -144 (30 + 12k) + 42 = -144 Reorder the terms: 30 + 42 + 12k = -144 Combine like terms: 30 + 42 = 72 72 + 12k = -144 Solving 72 + 12k = -144 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 12k = -144 + -72 Combine like terms: 72 + -72 = 0 0 + 12k = -144 + -72 12k = -144 + -72 Combine like terms: -144 + -72 = -216 12k = -216 Divide each side by '12'. k = -18 Simplifying k = -18
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