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Simplifying 4(a + 2) + 3(a + 3) = 0 Reorder the terms: 4(2 + a) + 3(a + 3) = 0 (2 * 4 + a * 4) + 3(a + 3) = 0 (8 + 4a) + 3(a + 3) = 0 Reorder the terms: 8 + 4a + 3(3 + a) = 0 8 + 4a + (3 * 3 + a * 3) = 0 8 + 4a + (9 + 3a) = 0 Reorder the terms: 8 + 9 + 4a + 3a = 0 Combine like terms: 8 + 9 = 17 17 + 4a + 3a = 0 Combine like terms: 4a + 3a = 7a 17 + 7a = 0 Solving 17 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7a = 0 + -17 7a = 0 + -17 Combine like terms: 0 + -17 = -17 7a = -17 Divide each side by '7'. a = -2.428571429 Simplifying a = -2.428571429
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