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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) Combine like terms: a + a = 2a -2 + 2a = (a + 3) + -1(a + 1) Reorder the terms: -2 + 2a = (3 + a) + -1(a + 1) Remove parenthesis around (3 + a) -2 + 2a = 3 + a + -1(a + 1) Reorder the terms: -2 + 2a = 3 + a + -1(1 + a) -2 + 2a = 3 + a + (1 * -1 + a * -1) -2 + 2a = 3 + a + (-1 + -1a) Reorder the terms: -2 + 2a = 3 + -1 + a + -1a Combine like terms: 3 + -1 = 2 -2 + 2a = 2 + a + -1a Combine like terms: a + -1a = 0 -2 + 2a = 2 + 0 -2 + 2a = 2 Solving -2 + 2a = 2 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 + 2 + 2a = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = 2 + 2 2a = 2 + 2 Combine like terms: 2 + 2 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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