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Simplifying 8(a + 2) + 2(2 + 3a) = 0 Reorder the terms: 8(2 + a) + 2(2 + 3a) = 0 (2 * 8 + a * 8) + 2(2 + 3a) = 0 (16 + 8a) + 2(2 + 3a) = 0 16 + 8a + (2 * 2 + 3a * 2) = 0 16 + 8a + (4 + 6a) = 0 Reorder the terms: 16 + 4 + 8a + 6a = 0 Combine like terms: 16 + 4 = 20 20 + 8a + 6a = 0 Combine like terms: 8a + 6a = 14a 20 + 14a = 0 Solving 20 + 14a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 14a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 14a = 0 + -20 14a = 0 + -20 Combine like terms: 0 + -20 = -20 14a = -20 Divide each side by '14'. a = -1.428571429 Simplifying a = -1.428571429
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