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Simplifying -11k + -9(-1k + -7) = 11 + 7k + -13k Reorder the terms: -11k + -9(-7 + -1k) = 11 + 7k + -13k -11k + (-7 * -9 + -1k * -9) = 11 + 7k + -13k -11k + (63 + 9k) = 11 + 7k + -13k Reorder the terms: 63 + -11k + 9k = 11 + 7k + -13k Combine like terms: -11k + 9k = -2k 63 + -2k = 11 + 7k + -13k Combine like terms: 7k + -13k = -6k 63 + -2k = 11 + -6k Solving 63 + -2k = 11 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 63 + -2k + 6k = 11 + -6k + 6k Combine like terms: -2k + 6k = 4k 63 + 4k = 11 + -6k + 6k Combine like terms: -6k + 6k = 0 63 + 4k = 11 + 0 63 + 4k = 11 Add '-63' to each side of the equation. 63 + -63 + 4k = 11 + -63 Combine like terms: 63 + -63 = 0 0 + 4k = 11 + -63 4k = 11 + -63 Combine like terms: 11 + -63 = -52 4k = -52 Divide each side by '4'. k = -13 Simplifying k = -13
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