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Simplifying 5(a + 2) + 4(a + 1) = 0 Reorder the terms: 5(2 + a) + 4(a + 1) = 0 (2 * 5 + a * 5) + 4(a + 1) = 0 (10 + 5a) + 4(a + 1) = 0 Reorder the terms: 10 + 5a + 4(1 + a) = 0 10 + 5a + (1 * 4 + a * 4) = 0 10 + 5a + (4 + 4a) = 0 Reorder the terms: 10 + 4 + 5a + 4a = 0 Combine like terms: 10 + 4 = 14 14 + 5a + 4a = 0 Combine like terms: 5a + 4a = 9a 14 + 9a = 0 Solving 14 + 9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 9a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 9a = 0 + -14 9a = 0 + -14 Combine like terms: 0 + -14 = -14 9a = -14 Divide each side by '9'. a = -1.555555556 Simplifying a = -1.555555556
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