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Simplifying -5(2 + -3k) = 5(1 + 7k) + -5k (2 * -5 + -3k * -5) = 5(1 + 7k) + -5k (-10 + 15k) = 5(1 + 7k) + -5k -10 + 15k = (1 * 5 + 7k * 5) + -5k -10 + 15k = (5 + 35k) + -5k Combine like terms: 35k + -5k = 30k -10 + 15k = 5 + 30k Solving -10 + 15k = 5 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -10 + 15k + -30k = 5 + 30k + -30k Combine like terms: 15k + -30k = -15k -10 + -15k = 5 + 30k + -30k Combine like terms: 30k + -30k = 0 -10 + -15k = 5 + 0 -10 + -15k = 5 Add '10' to each side of the equation. -10 + 10 + -15k = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -15k = 5 + 10 -15k = 5 + 10 Combine like terms: 5 + 10 = 15 -15k = 15 Divide each side by '-15'. k = -1 Simplifying k = -1
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