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Simplifying A + B + C + -1D = 5 + C + D + E Add '-1C' to each side of the equation. A + B + C + -1C + -1D = 5 + C + D + -1C + E Combine like terms: C + -1C = 0 A + B + 0 + -1D = 5 + C + D + -1C + E A + B + -1D = 5 + C + D + -1C + E Reorder the terms: A + B + -1D = 5 + C + -1C + D + E Combine like terms: C + -1C = 0 A + B + -1D = 5 + 0 + D + E A + B + -1D = 5 + D + E Solving A + B + -1D = 5 + D + E 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 + -1D = 5 + D + -1B + E Combine like terms: B + -1B = 0 A + 0 + -1D = 5 + D + -1B + E A + -1D = 5 + D + -1B + E Reorder the terms: A + -1D = 5 + -1B + D + E Add 'D' to each side of the equation. A + -1D + D = 5 + -1B + D + D + E Combine like terms: -1D + D = 0 A + 0 = 5 + -1B + D + D + E A = 5 + -1B + D + D + E Combine like terms: D + D = 2D A = 5 + -1B + 2D + E Simplifying A = 5 + -1B + 2D + E
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