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Simplifying 3(a + 1) + 2(2 + -1a) = 0 Reorder the terms: 3(1 + a) + 2(2 + -1a) = 0 (1 * 3 + a * 3) + 2(2 + -1a) = 0 (3 + 3a) + 2(2 + -1a) = 0 3 + 3a + (2 * 2 + -1a * 2) = 0 3 + 3a + (4 + -2a) = 0 Reorder the terms: 3 + 4 + 3a + -2a = 0 Combine like terms: 3 + 4 = 7 7 + 3a + -2a = 0 Combine like terms: 3a + -2a = 1a 7 + 1a = 0 Solving 7 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1a = 0 + -7 1a = 0 + -7 Combine like terms: 0 + -7 = -7 1a = -7 Divide each side by '1'. a = -7 Simplifying a = -7
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