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Simplifying A + 8b + -1c + 2 = -1b + 4c + -5 Reorder the terms: 2 + A + 8b + -1c = -1b + 4c + -5 Reorder the terms: 2 + A + 8b + -1c = -5 + -1b + 4c Solving 2 + A + 8b + -1c = -5 + -1b + 4c Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + A + 8b + -2 + -1c = -5 + -1b + -2 + 4c Reorder the terms: 2 + -2 + A + 8b + -1c = -5 + -1b + -2 + 4c Combine like terms: 2 + -2 = 0 0 + A + 8b + -1c = -5 + -1b + -2 + 4c A + 8b + -1c = -5 + -1b + -2 + 4c Reorder the terms: A + 8b + -1c = -5 + -2 + -1b + 4c Combine like terms: -5 + -2 = -7 A + 8b + -1c = -7 + -1b + 4c Add '-8b' to each side of the equation. A + 8b + -8b + -1c = -7 + -1b + -8b + 4c Combine like terms: 8b + -8b = 0 A + 0 + -1c = -7 + -1b + -8b + 4c A + -1c = -7 + -1b + -8b + 4c Combine like terms: -1b + -8b = -9b A + -1c = -7 + -9b + 4c Add 'c' to each side of the equation. A + -1c + c = -7 + -9b + 4c + c Combine like terms: -1c + c = 0 A + 0 = -7 + -9b + 4c + c A = -7 + -9b + 4c + c Combine like terms: 4c + c = 5c A = -7 + -9b + 5c Simplifying A = -7 + -9b + 5c
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