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Simplifying A + b + a + c = a + b + b + d Reorder the terms: A + a + b + c = a + b + b + d Combine like terms: b + b = 2b A + a + b + c = a + 2b + d Add '-1a' to each side of the equation. A + a + b + -1a + c = a + 2b + -1a + d Reorder the terms: A + a + -1a + b + c = a + 2b + -1a + d Combine like terms: a + -1a = 0 A + 0 + b + c = a + 2b + -1a + d A + b + c = a + 2b + -1a + d Reorder the terms: A + b + c = a + -1a + 2b + d Combine like terms: a + -1a = 0 A + b + c = 0 + 2b + d A + b + c = 2b + d Solving A + b + c = 2b + d Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-1b' to each side of the equation. A + b + -1b + c = 2b + -1b + d Combine like terms: b + -1b = 0 A + 0 + c = 2b + -1b + d A + c = 2b + -1b + d Combine like terms: 2b + -1b = 1b A + c = 1b + d Add '-1c' to each side of the equation. A + c + -1c = 1b + -1c + d Combine like terms: c + -1c = 0 A + 0 = 1b + -1c + d A = 1b + -1c + d Simplifying A = 1b + -1c + d
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