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Simplifying 3(a + 1) + -1(a + -2) = 0 Reorder the terms: 3(1 + a) + -1(a + -2) = 0 (1 * 3 + a * 3) + -1(a + -2) = 0 (3 + 3a) + -1(a + -2) = 0 Reorder the terms: 3 + 3a + -1(-2 + a) = 0 3 + 3a + (-2 * -1 + a * -1) = 0 3 + 3a + (2 + -1a) = 0 Reorder the terms: 3 + 2 + 3a + -1a = 0 Combine like terms: 3 + 2 = 5 5 + 3a + -1a = 0 Combine like terms: 3a + -1a = 2a 5 + 2a = 0 Solving 5 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 0 + -5 2a = 0 + -5 Combine like terms: 0 + -5 = -5 2a = -5 Divide each side by '2'. a = -2.5 Simplifying a = -2.5
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