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Simplifying -3(k + 9) + -1(5k + -1) = -9k Reorder the terms: -3(9 + k) + -1(5k + -1) = -9k (9 * -3 + k * -3) + -1(5k + -1) = -9k (-27 + -3k) + -1(5k + -1) = -9k Reorder the terms: -27 + -3k + -1(-1 + 5k) = -9k -27 + -3k + (-1 * -1 + 5k * -1) = -9k -27 + -3k + (1 + -5k) = -9k Reorder the terms: -27 + 1 + -3k + -5k = -9k Combine like terms: -27 + 1 = -26 -26 + -3k + -5k = -9k Combine like terms: -3k + -5k = -8k -26 + -8k = -9k Solving -26 + -8k = -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -26 + -8k + 9k = -9k + 9k Combine like terms: -8k + 9k = 1k -26 + 1k = -9k + 9k Combine like terms: -9k + 9k = 0 -26 + 1k = 0 Add '26' to each side of the equation. -26 + 26 + 1k = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 1k = 0 + 26 1k = 0 + 26 Combine like terms: 0 + 26 = 26 1k = 26 Divide each side by '1'. k = 26 Simplifying k = 26
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