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Simplifying 2a(3 + 4) + 2(a + 5) = 0 Combine like terms: 3 + 4 = 7 2a(7) + 2(a + 5) = 0 Reorder the terms for easier multiplication: 2 * 7a + 2(a + 5) = 0 Multiply 2 * 7 14a + 2(a + 5) = 0 Reorder the terms: 14a + 2(5 + a) = 0 14a + (5 * 2 + a * 2) = 0 14a + (10 + 2a) = 0 Reorder the terms: 10 + 14a + 2a = 0 Combine like terms: 14a + 2a = 16a 10 + 16a = 0 Solving 10 + 16a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 16a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 16a = 0 + -10 16a = 0 + -10 Combine like terms: 0 + -10 = -10 16a = -10 Divide each side by '16'. a = -0.625 Simplifying a = -0.625
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