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Simplifying -2(k + 5) = 11 + k Reorder the terms: -2(5 + k) = 11 + k (5 * -2 + k * -2) = 11 + k (-10 + -2k) = 11 + k Solving -10 + -2k = 11 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -10 + -2k + -1k = 11 + k + -1k Combine like terms: -2k + -1k = -3k -10 + -3k = 11 + k + -1k Combine like terms: k + -1k = 0 -10 + -3k = 11 + 0 -10 + -3k = 11 Add '10' to each side of the equation. -10 + 10 + -3k = 11 + 10 Combine like terms: -10 + 10 = 0 0 + -3k = 11 + 10 -3k = 11 + 10 Combine like terms: 11 + 10 = 21 -3k = 21 Divide each side by '-3'. k = -7 Simplifying k = -7
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