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Simplifying -1(2 + -7k) = -30 + -5k (2 * -1 + -7k * -1) = -30 + -5k (-2 + 7k) = -30 + -5k Solving -2 + 7k = -30 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -2 + 7k + 5k = -30 + -5k + 5k Combine like terms: 7k + 5k = 12k -2 + 12k = -30 + -5k + 5k Combine like terms: -5k + 5k = 0 -2 + 12k = -30 + 0 -2 + 12k = -30 Add '2' to each side of the equation. -2 + 2 + 12k = -30 + 2 Combine like terms: -2 + 2 = 0 0 + 12k = -30 + 2 12k = -30 + 2 Combine like terms: -30 + 2 = -28 12k = -28 Divide each side by '12'. k = -2.333333333 Simplifying k = -2.333333333
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