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Simplifying A + a + 12 = 2a + 7 + a Reorder the terms: 12 + A + a = 2a + 7 + a Reorder the terms: 12 + A + a = 7 + 2a + a Combine like terms: 2a + a = 3a 12 + A + a = 7 + 3a Solving 12 + A + a = 7 + 3a Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + A + -12 + a = 7 + -12 + 3a Reorder the terms: 12 + -12 + A + a = 7 + -12 + 3a Combine like terms: 12 + -12 = 0 0 + A + a = 7 + -12 + 3a A + a = 7 + -12 + 3a Combine like terms: 7 + -12 = -5 A + a = -5 + 3a Add '-1a' to each side of the equation. A + a + -1a = -5 + 3a + -1a Combine like terms: a + -1a = 0 A + 0 = -5 + 3a + -1a A = -5 + 3a + -1a Combine like terms: 3a + -1a = 2a A = -5 + 2a Simplifying A = -5 + 2a
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