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Simplifying 9k + -7 + 8 = -6k + 44 Reorder the terms: -7 + 8 + 9k = -6k + 44 Combine like terms: -7 + 8 = 1 1 + 9k = -6k + 44 Reorder the terms: 1 + 9k = 44 + -6k Solving 1 + 9k = 44 + -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. 1 + 9k + 6k = 44 + -6k + 6k Combine like terms: 9k + 6k = 15k 1 + 15k = 44 + -6k + 6k Combine like terms: -6k + 6k = 0 1 + 15k = 44 + 0 1 + 15k = 44 Add '-1' to each side of the equation. 1 + -1 + 15k = 44 + -1 Combine like terms: 1 + -1 = 0 0 + 15k = 44 + -1 15k = 44 + -1 Combine like terms: 44 + -1 = 43 15k = 43 Divide each side by '15'. k = 2.866666667 Simplifying k = 2.866666667
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