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Simplifying -6(8k + 5) + 7k = -30 + 5k Reorder the terms: -6(5 + 8k) + 7k = -30 + 5k (5 * -6 + 8k * -6) + 7k = -30 + 5k (-30 + -48k) + 7k = -30 + 5k Combine like terms: -48k + 7k = -41k -30 + -41k = -30 + 5k Add '30' to each side of the equation. -30 + 30 + -41k = -30 + 30 + 5k Combine like terms: -30 + 30 = 0 0 + -41k = -30 + 30 + 5k -41k = -30 + 30 + 5k Combine like terms: -30 + 30 = 0 -41k = 0 + 5k -41k = 5k Solving -41k = 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. -41k + -5k = 5k + -5k Combine like terms: -41k + -5k = -46k -46k = 5k + -5k Combine like terms: 5k + -5k = 0 -46k = 0 Divide each side by '-46'. k = 0 Simplifying k = 0
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