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Simplifying -3 + 7(5k + 6) = 214 Reorder the terms: -3 + 7(6 + 5k) = 214 -3 + (6 * 7 + 5k * 7) = 214 -3 + (42 + 35k) = 214 Combine like terms: -3 + 42 = 39 39 + 35k = 214 Solving 39 + 35k = 214 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 35k = 214 + -39 Combine like terms: 39 + -39 = 0 0 + 35k = 214 + -39 35k = 214 + -39 Combine like terms: 214 + -39 = 175 35k = 175 Divide each side by '35'. k = 5 Simplifying k = 5
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