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Simplifying 7k + -1(4 + -2k) = 39k + 50 + -1 7k + (4 * -1 + -2k * -1) = 39k + 50 + -1 7k + (-4 + 2k) = 39k + 50 + -1 Reorder the terms: -4 + 7k + 2k = 39k + 50 + -1 Combine like terms: 7k + 2k = 9k -4 + 9k = 39k + 50 + -1 Reorder the terms: -4 + 9k = 50 + -1 + 39k Combine like terms: 50 + -1 = 49 -4 + 9k = 49 + 39k Solving -4 + 9k = 49 + 39k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39k' to each side of the equation. -4 + 9k + -39k = 49 + 39k + -39k Combine like terms: 9k + -39k = -30k -4 + -30k = 49 + 39k + -39k Combine like terms: 39k + -39k = 0 -4 + -30k = 49 + 0 -4 + -30k = 49 Add '4' to each side of the equation. -4 + 4 + -30k = 49 + 4 Combine like terms: -4 + 4 = 0 0 + -30k = 49 + 4 -30k = 49 + 4 Combine like terms: 49 + 4 = 53 -30k = 53 Divide each side by '-30'. k = -1.766666667 Simplifying k = -1.766666667
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