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Simplifying 2(6k + -1) + 7 = -43 Reorder the terms: 2(-1 + 6k) + 7 = -43 (-1 * 2 + 6k * 2) + 7 = -43 (-2 + 12k) + 7 = -43 Reorder the terms: -2 + 7 + 12k = -43 Combine like terms: -2 + 7 = 5 5 + 12k = -43 Solving 5 + 12k = -43 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 12k = -43 + -5 Combine like terms: 5 + -5 = 0 0 + 12k = -43 + -5 12k = -43 + -5 Combine like terms: -43 + -5 = -48 12k = -48 Divide each side by '12'. k = -4 Simplifying k = -4
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