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Simplifying 3(2a + 8) + 2(5a + -3) = 0 Reorder the terms: 3(8 + 2a) + 2(5a + -3) = 0 (8 * 3 + 2a * 3) + 2(5a + -3) = 0 (24 + 6a) + 2(5a + -3) = 0 Reorder the terms: 24 + 6a + 2(-3 + 5a) = 0 24 + 6a + (-3 * 2 + 5a * 2) = 0 24 + 6a + (-6 + 10a) = 0 Reorder the terms: 24 + -6 + 6a + 10a = 0 Combine like terms: 24 + -6 = 18 18 + 6a + 10a = 0 Combine like terms: 6a + 10a = 16a 18 + 16a = 0 Solving 18 + 16a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 16a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 16a = 0 + -18 16a = 0 + -18 Combine like terms: 0 + -18 = -18 16a = -18 Divide each side by '16'. a = -1.125 Simplifying a = -1.125
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