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Simplifying 3(8 + a) + 10(6 + 3a) = 0 (8 * 3 + a * 3) + 10(6 + 3a) = 0 (24 + 3a) + 10(6 + 3a) = 0 24 + 3a + (6 * 10 + 3a * 10) = 0 24 + 3a + (60 + 30a) = 0 Reorder the terms: 24 + 60 + 3a + 30a = 0 Combine like terms: 24 + 60 = 84 84 + 3a + 30a = 0 Combine like terms: 3a + 30a = 33a 84 + 33a = 0 Solving 84 + 33a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 33a = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 33a = 0 + -84 33a = 0 + -84 Combine like terms: 0 + -84 = -84 33a = -84 Divide each side by '33'. a = -2.545454545 Simplifying a = -2.545454545
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