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Simplifying a + (a + -3) = (a + 2) + -1(a + 1) Reorder the terms: a + (-3 + a) = (a + 2) + -1(a + 1) Remove parenthesis around (-3 + a) a + -3 + a = (a + 2) + -1(a + 1) Reorder the terms: -3 + a + a = (a + 2) + -1(a + 1) Combine like terms: a + a = 2a -3 + 2a = (a + 2) + -1(a + 1) Reorder the terms: -3 + 2a = (2 + a) + -1(a + 1) Remove parenthesis around (2 + a) -3 + 2a = 2 + a + -1(a + 1) Reorder the terms: -3 + 2a = 2 + a + -1(1 + a) -3 + 2a = 2 + a + (1 * -1 + a * -1) -3 + 2a = 2 + a + (-1 + -1a) Reorder the terms: -3 + 2a = 2 + -1 + a + -1a Combine like terms: 2 + -1 = 1 -3 + 2a = 1 + a + -1a Combine like terms: a + -1a = 0 -3 + 2a = 1 + 0 -3 + 2a = 1 Solving -3 + 2a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2a = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = 1 + 3 2a = 1 + 3 Combine like terms: 1 + 3 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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