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Simplifying 3(4 + a) + 2(5 + a) = 0 (4 * 3 + a * 3) + 2(5 + a) = 0 (12 + 3a) + 2(5 + a) = 0 12 + 3a + (5 * 2 + a * 2) = 0 12 + 3a + (10 + 2a) = 0 Reorder the terms: 12 + 10 + 3a + 2a = 0 Combine like terms: 12 + 10 = 22 22 + 3a + 2a = 0 Combine like terms: 3a + 2a = 5a 22 + 5a = 0 Solving 22 + 5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 5a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 5a = 0 + -22 5a = 0 + -22 Combine like terms: 0 + -22 = -22 5a = -22 Divide each side by '5'. a = -4.4 Simplifying a = -4.4
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