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Simplifying 3A + 10 + 2 + c = A + A + 20 + c Reorder the terms: 10 + 2 + 3A + c = A + A + 20 + c Combine like terms: 10 + 2 = 12 12 + 3A + c = A + A + 20 + c Reorder the terms: 12 + 3A + c = 20 + A + A + c Combine like terms: A + A = 2A 12 + 3A + c = 20 + 2A + c Add '-1c' to each side of the equation. 12 + 3A + c + -1c = 20 + 2A + c + -1c Combine like terms: c + -1c = 0 12 + 3A + 0 = 20 + 2A + c + -1c 12 + 3A = 20 + 2A + c + -1c Combine like terms: c + -1c = 0 12 + 3A = 20 + 2A + 0 12 + 3A = 20 + 2A Solving 12 + 3A = 20 + 2A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2A' to each side of the equation. 12 + 3A + -2A = 20 + 2A + -2A Combine like terms: 3A + -2A = 1A 12 + 1A = 20 + 2A + -2A Combine like terms: 2A + -2A = 0 12 + 1A = 20 + 0 12 + 1A = 20 Add '-12' to each side of the equation. 12 + -12 + 1A = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 1A = 20 + -12 1A = 20 + -12 Combine like terms: 20 + -12 = 8 1A = 8 Divide each side by '1'. A = 8 Simplifying A = 8
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