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Simplifying 7k + -1(4 + -2k) = 3(k + 5) + -1 7k + (4 * -1 + -2k * -1) = 3(k + 5) + -1 7k + (-4 + 2k) = 3(k + 5) + -1 Reorder the terms: -4 + 7k + 2k = 3(k + 5) + -1 Combine like terms: 7k + 2k = 9k -4 + 9k = 3(k + 5) + -1 Reorder the terms: -4 + 9k = 3(5 + k) + -1 -4 + 9k = (5 * 3 + k * 3) + -1 -4 + 9k = (15 + 3k) + -1 Reorder the terms: -4 + 9k = 15 + -1 + 3k Combine like terms: 15 + -1 = 14 -4 + 9k = 14 + 3k Solving -4 + 9k = 14 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -4 + 9k + -3k = 14 + 3k + -3k Combine like terms: 9k + -3k = 6k -4 + 6k = 14 + 3k + -3k Combine like terms: 3k + -3k = 0 -4 + 6k = 14 + 0 -4 + 6k = 14 Add '4' to each side of the equation. -4 + 4 + 6k = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 6k = 14 + 4 6k = 14 + 4 Combine like terms: 14 + 4 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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