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Simplifying 9k + -1[7 + -5(7k + -3)] = 0 Reorder the terms: 9k + -1[7 + -5(-3 + 7k)] = 0 9k + -1[7 + (-3 * -5 + 7k * -5)] = 0 9k + -1[7 + (15 + -35k)] = 0 Combine like terms: 7 + 15 = 22 9k + -1[22 + -35k] = 0 9k + [22 * -1 + -35k * -1] = 0 9k + [-22 + 35k] = 0 Reorder the terms: -22 + 9k + 35k = 0 Combine like terms: 9k + 35k = 44k -22 + 44k = 0 Solving -22 + 44k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 44k = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 44k = 0 + 22 44k = 0 + 22 Combine like terms: 0 + 22 = 22 44k = 22 Divide each side by '44'. k = 0.5 Simplifying k = 0.5
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