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Simplifying 9(k + 9) + -1(4k + -6) = 4k Reorder the terms: 9(9 + k) + -1(4k + -6) = 4k (9 * 9 + k * 9) + -1(4k + -6) = 4k (81 + 9k) + -1(4k + -6) = 4k Reorder the terms: 81 + 9k + -1(-6 + 4k) = 4k 81 + 9k + (-6 * -1 + 4k * -1) = 4k 81 + 9k + (6 + -4k) = 4k Reorder the terms: 81 + 6 + 9k + -4k = 4k Combine like terms: 81 + 6 = 87 87 + 9k + -4k = 4k Combine like terms: 9k + -4k = 5k 87 + 5k = 4k Solving 87 + 5k = 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 87 + 5k + -4k = 4k + -4k Combine like terms: 5k + -4k = 1k 87 + 1k = 4k + -4k Combine like terms: 4k + -4k = 0 87 + 1k = 0 Add '-87' to each side of the equation. 87 + -87 + 1k = 0 + -87 Combine like terms: 87 + -87 = 0 0 + 1k = 0 + -87 1k = 0 + -87 Combine like terms: 0 + -87 = -87 1k = -87 Divide each side by '1'. k = -87 Simplifying k = -87
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