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Simplifying 4(8) + 9(3a + 5) + 8(2a + 1) = 0 Multiply 4 * 8 32 + 9(3a + 5) + 8(2a + 1) = 0 Reorder the terms: 32 + 9(5 + 3a) + 8(2a + 1) = 0 32 + (5 * 9 + 3a * 9) + 8(2a + 1) = 0 32 + (45 + 27a) + 8(2a + 1) = 0 Reorder the terms: 32 + 45 + 27a + 8(1 + 2a) = 0 32 + 45 + 27a + (1 * 8 + 2a * 8) = 0 32 + 45 + 27a + (8 + 16a) = 0 Reorder the terms: 32 + 45 + 8 + 27a + 16a = 0 Combine like terms: 32 + 45 = 77 77 + 8 + 27a + 16a = 0 Combine like terms: 77 + 8 = 85 85 + 27a + 16a = 0 Combine like terms: 27a + 16a = 43a 85 + 43a = 0 Solving 85 + 43a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + 43a = 0 + -85 Combine like terms: 85 + -85 = 0 0 + 43a = 0 + -85 43a = 0 + -85 Combine like terms: 0 + -85 = -85 43a = -85 Divide each side by '43'. a = -1.976744186 Simplifying a = -1.976744186
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