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Simplifying 9k + -15k + 11 = -7k + 3k + -13 Reorder the terms: 11 + 9k + -15k = -7k + 3k + -13 Combine like terms: 9k + -15k = -6k 11 + -6k = -7k + 3k + -13 Reorder the terms: 11 + -6k = -13 + -7k + 3k Combine like terms: -7k + 3k = -4k 11 + -6k = -13 + -4k Solving 11 + -6k = -13 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 11 + -6k + 4k = -13 + -4k + 4k Combine like terms: -6k + 4k = -2k 11 + -2k = -13 + -4k + 4k Combine like terms: -4k + 4k = 0 11 + -2k = -13 + 0 11 + -2k = -13 Add '-11' to each side of the equation. 11 + -11 + -2k = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -2k = -13 + -11 -2k = -13 + -11 Combine like terms: -13 + -11 = -24 -2k = -24 Divide each side by '-2'. k = 12 Simplifying k = 12
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