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Simplifying -9 + 6k + -1k = 2(6 + k) Combine like terms: 6k + -1k = 5k -9 + 5k = 2(6 + k) -9 + 5k = (6 * 2 + k * 2) -9 + 5k = (12 + 2k) Solving -9 + 5k = 12 + 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 + 5k + -2k = 12 + 2k + -2k Combine like terms: 5k + -2k = 3k -9 + 3k = 12 + 2k + -2k Combine like terms: 2k + -2k = 0 -9 + 3k = 12 + 0 -9 + 3k = 12 Add '9' to each side of the equation. -9 + 9 + 3k = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3k = 12 + 9 3k = 12 + 9 Combine like terms: 12 + 9 = 21 3k = 21 Divide each side by '3'. k = 7 Simplifying k = 7
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