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Simplifying 4(a + 3) + 7(a + 4) = 0 Reorder the terms: 4(3 + a) + 7(a + 4) = 0 (3 * 4 + a * 4) + 7(a + 4) = 0 (12 + 4a) + 7(a + 4) = 0 Reorder the terms: 12 + 4a + 7(4 + a) = 0 12 + 4a + (4 * 7 + a * 7) = 0 12 + 4a + (28 + 7a) = 0 Reorder the terms: 12 + 28 + 4a + 7a = 0 Combine like terms: 12 + 28 = 40 40 + 4a + 7a = 0 Combine like terms: 4a + 7a = 11a 40 + 11a = 0 Solving 40 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 11a = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 11a = 0 + -40 11a = 0 + -40 Combine like terms: 0 + -40 = -40 11a = -40 Divide each side by '11'. a = -3.636363636 Simplifying a = -3.636363636
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