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Simplifying 30k + 2(6k + 7) = 0 Reorder the terms: 30k + 2(7 + 6k) = 0 30k + (7 * 2 + 6k * 2) = 0 30k + (14 + 12k) = 0 Reorder the terms: 14 + 30k + 12k = 0 Combine like terms: 30k + 12k = 42k 14 + 42k = 0 Solving 14 + 42k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 42k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 42k = 0 + -14 42k = 0 + -14 Combine like terms: 0 + -14 = -14 42k = -14 Divide each side by '42'. k = -0.3333333333 Simplifying k = -0.3333333333
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