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Simplifying 4(3a + 5) + 8(a + 1) = 0 Reorder the terms: 4(5 + 3a) + 8(a + 1) = 0 (5 * 4 + 3a * 4) + 8(a + 1) = 0 (20 + 12a) + 8(a + 1) = 0 Reorder the terms: 20 + 12a + 8(1 + a) = 0 20 + 12a + (1 * 8 + a * 8) = 0 20 + 12a + (8 + 8a) = 0 Reorder the terms: 20 + 8 + 12a + 8a = 0 Combine like terms: 20 + 8 = 28 28 + 12a + 8a = 0 Combine like terms: 12a + 8a = 20a 28 + 20a = 0 Solving 28 + 20a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 20a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 20a = 0 + -28 20a = 0 + -28 Combine like terms: 0 + -28 = -28 20a = -28 Divide each side by '20'. a = -1.4 Simplifying a = -1.4
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