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Simplifying 9(a + 5) + 7(2a + 7) = 0 Reorder the terms: 9(5 + a) + 7(2a + 7) = 0 (5 * 9 + a * 9) + 7(2a + 7) = 0 (45 + 9a) + 7(2a + 7) = 0 Reorder the terms: 45 + 9a + 7(7 + 2a) = 0 45 + 9a + (7 * 7 + 2a * 7) = 0 45 + 9a + (49 + 14a) = 0 Reorder the terms: 45 + 49 + 9a + 14a = 0 Combine like terms: 45 + 49 = 94 94 + 9a + 14a = 0 Combine like terms: 9a + 14a = 23a 94 + 23a = 0 Solving 94 + 23a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-94' to each side of the equation. 94 + -94 + 23a = 0 + -94 Combine like terms: 94 + -94 = 0 0 + 23a = 0 + -94 23a = 0 + -94 Combine like terms: 0 + -94 = -94 23a = -94 Divide each side by '23'. a = -4.086956522 Simplifying a = -4.086956522
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