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Simplifying 3(a + 6) + 5(2a + 4) = 0 Reorder the terms: 3(6 + a) + 5(2a + 4) = 0 (6 * 3 + a * 3) + 5(2a + 4) = 0 (18 + 3a) + 5(2a + 4) = 0 Reorder the terms: 18 + 3a + 5(4 + 2a) = 0 18 + 3a + (4 * 5 + 2a * 5) = 0 18 + 3a + (20 + 10a) = 0 Reorder the terms: 18 + 20 + 3a + 10a = 0 Combine like terms: 18 + 20 = 38 38 + 3a + 10a = 0 Combine like terms: 3a + 10a = 13a 38 + 13a = 0 Solving 38 + 13a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 13a = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 13a = 0 + -38 13a = 0 + -38 Combine like terms: 0 + -38 = -38 13a = -38 Divide each side by '13'. a = -2.923076923 Simplifying a = -2.923076923
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