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Simplifying A + (a + -2) = (a * 3) + -1(a + 1) Reorder the terms: A + (-2 + a) = (a * 3) + -1(a + 1) Remove parenthesis around (-2 + a) A + -2 + a = (a * 3) + -1(a + 1) Reorder the terms: -2 + A + a = (a * 3) + -1(a + 1) Reorder the terms for easier multiplication: -2 + A + a = (3a) + -1(a + 1) Reorder the terms: -2 + A + a = (3a) + -1(1 + a) -2 + A + a = (3a) + (1 * -1 + a * -1) -2 + A + a = (3a) + (-1 + -1a) Reorder the terms: -2 + A + a = -1 + (3a) + -1a Combine like terms: (3a) + -1a = 2a -2 + A + a = -1 + 2a Solving -2 + A + a = -1 + 2a 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 + 2 + a = -1 + 2 + 2a Reorder the terms: -2 + 2 + A + a = -1 + 2 + 2a Combine like terms: -2 + 2 = 0 0 + A + a = -1 + 2 + 2a A + a = -1 + 2 + 2a Combine like terms: -1 + 2 = 1 A + a = 1 + 2a Add '-1a' to each side of the equation. A + a + -1a = 1 + 2a + -1a Combine like terms: a + -1a = 0 A + 0 = 1 + 2a + -1a A = 1 + 2a + -1a Combine like terms: 2a + -1a = 1a A = 1 + 1a Simplifying A = 1 + 1a
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