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Simplifying 9 = 4(k + -4) + -7k Reorder the terms: 9 = 4(-4 + k) + -7k 9 = (-4 * 4 + k * 4) + -7k 9 = (-16 + 4k) + -7k Combine like terms: 4k + -7k = -3k 9 = -16 + -3k Solving 9 = -16 + -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. 9 + 3k = -16 + -3k + 3k Combine like terms: -3k + 3k = 0 9 + 3k = -16 + 0 9 + 3k = -16 Add '-9' to each side of the equation. 9 + -9 + 3k = -16 + -9 Combine like terms: 9 + -9 = 0 0 + 3k = -16 + -9 3k = -16 + -9 Combine like terms: -16 + -9 = -25 3k = -25 Divide each side by '3'. k = -8.333333333 Simplifying k = -8.333333333
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