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Simplifying 11A + 12B + 3C + 5C + -5B + -6A = 0 Reorder the terms: 11A + -6A + 12B + -5B + 3C + 5C = 0 Combine like terms: 11A + -6A = 5A 5A + 12B + -5B + 3C + 5C = 0 Combine like terms: 12B + -5B = 7B 5A + 7B + 3C + 5C = 0 Combine like terms: 3C + 5C = 8C 5A + 7B + 8C = 0 Solving 5A + 7B + 8C = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-7B' to each side of the equation. 5A + 7B + -7B + 8C = 0 + -7B Combine like terms: 7B + -7B = 0 5A + 0 + 8C = 0 + -7B 5A + 8C = 0 + -7B Remove the zero: 5A + 8C = -7B Add '-8C' to each side of the equation. 5A + 8C + -8C = -7B + -8C Combine like terms: 8C + -8C = 0 5A + 0 = -7B + -8C 5A = -7B + -8C Divide each side by '5'. A = -1.4B + -1.6C Simplifying A = -1.4B + -1.6C
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