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Simplifying 7(4 + a) + 5(3 + 5a) = 0 (4 * 7 + a * 7) + 5(3 + 5a) = 0 (28 + 7a) + 5(3 + 5a) = 0 28 + 7a + (3 * 5 + 5a * 5) = 0 28 + 7a + (15 + 25a) = 0 Reorder the terms: 28 + 15 + 7a + 25a = 0 Combine like terms: 28 + 15 = 43 43 + 7a + 25a = 0 Combine like terms: 7a + 25a = 32a 43 + 32a = 0 Solving 43 + 32a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 32a = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 32a = 0 + -43 32a = 0 + -43 Combine like terms: 0 + -43 = -43 32a = -43 Divide each side by '32'. a = -1.34375 Simplifying a = -1.34375
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