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Simplifying 9(2K + 3) + 2 = 11(11K + -11K) Reorder the terms: 9(3 + 2K) + 2 = 11(11K + -11K) (3 * 9 + 2K * 9) + 2 = 11(11K + -11K) (27 + 18K) + 2 = 11(11K + -11K) Reorder the terms: 27 + 2 + 18K = 11(11K + -11K) Combine like terms: 27 + 2 = 29 29 + 18K = 11(11K + -11K) Combine like terms: 11K + -11K = 0 29 + 18K = 11(0) Multiply 11 * 0 29 + 18K = 0 Anything times zero is zero. 29 + 18K = 0 Solving 29 + 18K = 0 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 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 18K = 0 + -29 18K = 0 + -29 Combine like terms: 0 + -29 = -29 18K = -29 Divide each side by '18'. K = -1.611111111 Simplifying K = -1.611111111
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