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Simplifying -9 = 2(k + 11) + -13 Reorder the terms: -9 = 2(11 + k) + -13 -9 = (11 * 2 + k * 2) + -13 -9 = (22 + 2k) + -13 Reorder the terms: -9 = 22 + -13 + 2k Combine like terms: 22 + -13 = 9 -9 = 9 + 2k Solving -9 = 9 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -9 + -2k = 9 + 2k + -2k Combine like terms: 2k + -2k = 0 -9 + -2k = 9 + 0 -9 + -2k = 9 Add '9' to each side of the equation. -9 + 9 + -2k = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -2k = 9 + 9 -2k = 9 + 9 Combine like terms: 9 + 9 = 18 -2k = 18 Divide each side by '-2'. k = -9 Simplifying k = -9
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