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Simplifying -6(2k + 7) = -126 Reorder the terms: -6(7 + 2k) = -126 (7 * -6 + 2k * -6) = -126 (-42 + -12k) = -126 Solving -42 + -12k = -126 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -12k = -126 + 42 Combine like terms: -42 + 42 = 0 0 + -12k = -126 + 42 -12k = -126 + 42 Combine like terms: -126 + 42 = -84 -12k = -84 Divide each side by '-12'. k = 7 Simplifying k = 7
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