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Simplifying 3a + 2 + -2(a + -1) = 3(2a + 3) Reorder the terms: 3a + 2 + -2(-1 + a) = 3(2a + 3) 3a + 2 + (-1 * -2 + a * -2) = 3(2a + 3) 3a + 2 + (2 + -2a) = 3(2a + 3) Reorder the terms: 2 + 2 + 3a + -2a = 3(2a + 3) Combine like terms: 2 + 2 = 4 4 + 3a + -2a = 3(2a + 3) Combine like terms: 3a + -2a = 1a 4 + 1a = 3(2a + 3) Reorder the terms: 4 + 1a = 3(3 + 2a) 4 + 1a = (3 * 3 + 2a * 3) 4 + 1a = (9 + 6a) Solving 4 + 1a = 9 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 4 + 1a + -6a = 9 + 6a + -6a Combine like terms: 1a + -6a = -5a 4 + -5a = 9 + 6a + -6a Combine like terms: 6a + -6a = 0 4 + -5a = 9 + 0 4 + -5a = 9 Add '-4' to each side of the equation. 4 + -4 + -5a = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5a = 9 + -4 -5a = 9 + -4 Combine like terms: 9 + -4 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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