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Simplifying (12A + -15B + 3C) + (8A + 6B + -3C) = 0 Remove parenthesis around (12A + -15B + 3C) 12A + -15B + 3C + (8A + 6B + -3C) = 0 Remove parenthesis around (8A + 6B + -3C) 12A + -15B + 3C + 8A + 6B + -3C = 0 Reorder the terms: 12A + 8A + -15B + 6B + 3C + -3C = 0 Combine like terms: 12A + 8A = 20A 20A + -15B + 6B + 3C + -3C = 0 Combine like terms: -15B + 6B = -9B 20A + -9B + 3C + -3C = 0 Combine like terms: 3C + -3C = 0 20A + -9B + 0 = 0 20A + -9B = 0 Solving 20A + -9B = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '9B' to each side of the equation. 20A + -9B + 9B = 0 + 9B Combine like terms: -9B + 9B = 0 20A + 0 = 0 + 9B 20A = 0 + 9B Remove the zero: 20A = 9B Divide each side by '20'. A = 0.45B Simplifying A = 0.45B
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