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Simplifying 4(a + 6) + 3(2a + 7) = 0 Reorder the terms: 4(6 + a) + 3(2a + 7) = 0 (6 * 4 + a * 4) + 3(2a + 7) = 0 (24 + 4a) + 3(2a + 7) = 0 Reorder the terms: 24 + 4a + 3(7 + 2a) = 0 24 + 4a + (7 * 3 + 2a * 3) = 0 24 + 4a + (21 + 6a) = 0 Reorder the terms: 24 + 21 + 4a + 6a = 0 Combine like terms: 24 + 21 = 45 45 + 4a + 6a = 0 Combine like terms: 4a + 6a = 10a 45 + 10a = 0 Solving 45 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 10a = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 10a = 0 + -45 10a = 0 + -45 Combine like terms: 0 + -45 = -45 10a = -45 Divide each side by '10'. a = -4.5 Simplifying a = -4.5
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