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Simplifying 2(a + 5) + 4(3a + 7) = 0 Reorder the terms: 2(5 + a) + 4(3a + 7) = 0 (5 * 2 + a * 2) + 4(3a + 7) = 0 (10 + 2a) + 4(3a + 7) = 0 Reorder the terms: 10 + 2a + 4(7 + 3a) = 0 10 + 2a + (7 * 4 + 3a * 4) = 0 10 + 2a + (28 + 12a) = 0 Reorder the terms: 10 + 28 + 2a + 12a = 0 Combine like terms: 10 + 28 = 38 38 + 2a + 12a = 0 Combine like terms: 2a + 12a = 14a 38 + 14a = 0 Solving 38 + 14a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 14a = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 14a = 0 + -38 14a = 0 + -38 Combine like terms: 0 + -38 = -38 14a = -38 Divide each side by '14'. a = -2.714285714 Simplifying a = -2.714285714
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