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Simplifying 9(k + -1) + -1(4 + -7k) = 15 Reorder the terms: 9(-1 + k) + -1(4 + -7k) = 15 (-1 * 9 + k * 9) + -1(4 + -7k) = 15 (-9 + 9k) + -1(4 + -7k) = 15 -9 + 9k + (4 * -1 + -7k * -1) = 15 -9 + 9k + (-4 + 7k) = 15 Reorder the terms: -9 + -4 + 9k + 7k = 15 Combine like terms: -9 + -4 = -13 -13 + 9k + 7k = 15 Combine like terms: 9k + 7k = 16k -13 + 16k = 15 Solving -13 + 16k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 16k = 15 + 13 Combine like terms: -13 + 13 = 0 0 + 16k = 15 + 13 16k = 15 + 13 Combine like terms: 15 + 13 = 28 16k = 28 Divide each side by '16'. k = 1.75 Simplifying k = 1.75
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