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Simplifying -4k + -13 = 9 + -4k + -2k Reorder the terms: -13 + -4k = 9 + -4k + -2k Combine like terms: -4k + -2k = -6k -13 + -4k = 9 + -6k Solving -13 + -4k = 9 + -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. -13 + -4k + 6k = 9 + -6k + 6k Combine like terms: -4k + 6k = 2k -13 + 2k = 9 + -6k + 6k Combine like terms: -6k + 6k = 0 -13 + 2k = 9 + 0 -13 + 2k = 9 Add '13' to each side of the equation. -13 + 13 + 2k = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 2k = 9 + 13 2k = 9 + 13 Combine like terms: 9 + 13 = 22 2k = 22 Divide each side by '2'. k = 11 Simplifying k = 11
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