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Simplifying 2(a + 3) + 2(a + -2) = 0 Reorder the terms: 2(3 + a) + 2(a + -2) = 0 (3 * 2 + a * 2) + 2(a + -2) = 0 (6 + 2a) + 2(a + -2) = 0 Reorder the terms: 6 + 2a + 2(-2 + a) = 0 6 + 2a + (-2 * 2 + a * 2) = 0 6 + 2a + (-4 + 2a) = 0 Reorder the terms: 6 + -4 + 2a + 2a = 0 Combine like terms: 6 + -4 = 2 2 + 2a + 2a = 0 Combine like terms: 2a + 2a = 4a 2 + 4a = 0 Solving 2 + 4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4a = 0 + -2 4a = 0 + -2 Combine like terms: 0 + -2 = -2 4a = -2 Divide each side by '4'. a = -0.5 Simplifying a = -0.5
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