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Simplifying 37 = 6k + -8k + 9 Reorder the terms: 37 = 9 + 6k + -8k Combine like terms: 6k + -8k = -2k 37 = 9 + -2k Solving 37 = 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. 37 + 2k = 9 + -2k + 2k Combine like terms: -2k + 2k = 0 37 + 2k = 9 + 0 37 + 2k = 9 Add '-37' to each side of the equation. 37 + -37 + 2k = 9 + -37 Combine like terms: 37 + -37 = 0 0 + 2k = 9 + -37 2k = 9 + -37 Combine like terms: 9 + -37 = -28 2k = -28 Divide each side by '2'. k = -14 Simplifying k = -14
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