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Simplifying 9(k + 4) + -1(6k + -5) = 2k Reorder the terms: 9(4 + k) + -1(6k + -5) = 2k (4 * 9 + k * 9) + -1(6k + -5) = 2k (36 + 9k) + -1(6k + -5) = 2k Reorder the terms: 36 + 9k + -1(-5 + 6k) = 2k 36 + 9k + (-5 * -1 + 6k * -1) = 2k 36 + 9k + (5 + -6k) = 2k Reorder the terms: 36 + 5 + 9k + -6k = 2k Combine like terms: 36 + 5 = 41 41 + 9k + -6k = 2k Combine like terms: 9k + -6k = 3k 41 + 3k = 2k Solving 41 + 3k = 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. 41 + 3k + -2k = 2k + -2k Combine like terms: 3k + -2k = 1k 41 + 1k = 2k + -2k Combine like terms: 2k + -2k = 0 41 + 1k = 0 Add '-41' to each side of the equation. 41 + -41 + 1k = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 1k = 0 + -41 1k = 0 + -41 Combine like terms: 0 + -41 = -41 1k = -41 Divide each side by '1'. k = -41 Simplifying k = -41
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