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Simplifying 7(6k + 2) = -34 + -4k Reorder the terms: 7(2 + 6k) = -34 + -4k (2 * 7 + 6k * 7) = -34 + -4k (14 + 42k) = -34 + -4k Solving 14 + 42k = -34 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 14 + 42k + 4k = -34 + -4k + 4k Combine like terms: 42k + 4k = 46k 14 + 46k = -34 + -4k + 4k Combine like terms: -4k + 4k = 0 14 + 46k = -34 + 0 14 + 46k = -34 Add '-14' to each side of the equation. 14 + -14 + 46k = -34 + -14 Combine like terms: 14 + -14 = 0 0 + 46k = -34 + -14 46k = -34 + -14 Combine like terms: -34 + -14 = -48 46k = -48 Divide each side by '46'. k = -1.043478261 Simplifying k = -1.043478261
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