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Simplifying 8(A + 2B) + 6(2A + B) = 0 (A * 8 + 2B * 8) + 6(2A + B) = 0 (8A + 16B) + 6(2A + B) = 0 8A + 16B + (2A * 6 + B * 6) = 0 8A + 16B + (12A + 6B) = 0 Reorder the terms: 8A + 12A + 16B + 6B = 0 Combine like terms: 8A + 12A = 20A 20A + 16B + 6B = 0 Combine like terms: 16B + 6B = 22B 20A + 22B = 0 Solving 20A + 22B = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-22B' to each side of the equation. 20A + 22B + -22B = 0 + -22B Combine like terms: 22B + -22B = 0 20A + 0 = 0 + -22B 20A = 0 + -22B Remove the zero: 20A = -22B Divide each side by '20'. A = -1.1B Simplifying A = -1.1B
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