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Simplifying 2A + 4B + -2C + 6D = 222 Solving 2A + 4B + -2C + 6D = 222 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-4B' to each side of the equation. 2A + 4B + -2C + -4B + 6D = 222 + -4B Reorder the terms: 2A + 4B + -4B + -2C + 6D = 222 + -4B Combine like terms: 4B + -4B = 0 2A + 0 + -2C + 6D = 222 + -4B 2A + -2C + 6D = 222 + -4B Add '2C' to each side of the equation. 2A + -2C + 2C + 6D = 222 + -4B + 2C Combine like terms: -2C + 2C = 0 2A + 0 + 6D = 222 + -4B + 2C 2A + 6D = 222 + -4B + 2C Add '-6D' to each side of the equation. 2A + 6D + -6D = 222 + -4B + 2C + -6D Combine like terms: 6D + -6D = 0 2A + 0 = 222 + -4B + 2C + -6D 2A = 222 + -4B + 2C + -6D Divide each side by '2'. A = 111 + -2B + C + -3D Simplifying A = 111 + -2B + C + -3D
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