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Simplifying 9(2K + 3) + 2 = 11(k + -4) Reorder the terms: 9(3 + 2K) + 2 = 11(k + -4) (3 * 9 + 2K * 9) + 2 = 11(k + -4) (27 + 18K) + 2 = 11(k + -4) Reorder the terms: 27 + 2 + 18K = 11(k + -4) Combine like terms: 27 + 2 = 29 29 + 18K = 11(k + -4) Reorder the terms: 29 + 18K = 11(-4 + k) 29 + 18K = (-4 * 11 + k * 11) 29 + 18K = (-44 + 11k) Solving 29 + 18K = -44 + 11k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 18K = -44 + -29 + 11k Combine like terms: 29 + -29 = 0 0 + 18K = -44 + -29 + 11k 18K = -44 + -29 + 11k Combine like terms: -44 + -29 = -73 18K = -73 + 11k Divide each side by '18'. K = -4.055555556 + 0.6111111111k Simplifying K = -4.055555556 + 0.6111111111k
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