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Simplifying 9(k + 9) + -1(7 + 4k) = 4k Reorder the terms: 9(9 + k) + -1(7 + 4k) = 4k (9 * 9 + k * 9) + -1(7 + 4k) = 4k (81 + 9k) + -1(7 + 4k) = 4k 81 + 9k + (7 * -1 + 4k * -1) = 4k 81 + 9k + (-7 + -4k) = 4k Reorder the terms: 81 + -7 + 9k + -4k = 4k Combine like terms: 81 + -7 = 74 74 + 9k + -4k = 4k Combine like terms: 9k + -4k = 5k 74 + 5k = 4k Solving 74 + 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. 74 + 5k + -4k = 4k + -4k Combine like terms: 5k + -4k = 1k 74 + 1k = 4k + -4k Combine like terms: 4k + -4k = 0 74 + 1k = 0 Add '-74' to each side of the equation. 74 + -74 + 1k = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 1k = 0 + -74 1k = 0 + -74 Combine like terms: 0 + -74 = -74 1k = -74 Divide each side by '1'. k = -74 Simplifying k = -74
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