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