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Simplifying 2(k + 9) + -1(-3k + -3) = 4k Reorder the terms: 2(9 + k) + -1(-3k + -3) = 4k (9 * 2 + k * 2) + -1(-3k + -3) = 4k (18 + 2k) + -1(-3k + -3) = 4k Reorder the terms: 18 + 2k + -1(-3 + -3k) = 4k 18 + 2k + (-3 * -1 + -3k * -1) = 4k 18 + 2k + (3 + 3k) = 4k Reorder the terms: 18 + 3 + 2k + 3k = 4k Combine like terms: 18 + 3 = 21 21 + 2k + 3k = 4k Combine like terms: 2k + 3k = 5k 21 + 5k = 4k Solving 21 + 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. 21 + 5k + -4k = 4k + -4k Combine like terms: 5k + -4k = 1k 21 + 1k = 4k + -4k Combine like terms: 4k + -4k = 0 21 + 1k = 0 Add '-21' to each side of the equation. 21 + -21 + 1k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 1k = 0 + -21 1k = 0 + -21 Combine like terms: 0 + -21 = -21 1k = -21 Divide each side by '1'. k = -21 Simplifying k = -21
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